[QUOTE=looneybin;6125645]it is probably the hose that goes to the timing belt cover.
+1 it's the timing /balance shafts belts cover,at one point the hose was deleted but can't remember starting which year,know for a fact that it is deleted on the 89 model.
[QUOTE=bavarianrescue;6125524]I have an '84 944 new to me in the last couple of months. My question is this:
The hose that attaches to the stock air box runs below it and attaches to a cover on the face of the engine. The attachment point for the hose on this cover is broken, what is this cover part called and where can I find one?

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You got three pieces to those covers ,the rear cover & the front which is in two parts.Take a look a the diagram & let us know which parts is broken then we will try to help you out ,but in the meantime I'll take a guess #2 rigth side if your facing the motor.
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83-944 show room -sold___New ride 93-968 with SC steering wheel-ROW signal ligths- Susp M030 mods lowered,Porsche VA springs- Adjustable struts - Bilstein inserts - Bilstein sport rear -LSD -riding on Cup 1 wheels 17x8 frt 17x9.5 rear road contact Falken 452/ 225-45 ZR Front 255-40 ZR Rear -- Motor Mods /chip /K&N / mod air boxe just love the handling & power