Skyhawk 172/Cutlass 172
Flight Crew Instrument
Flight Crew Total 200
Situational Awareness; Communication Breakdown; Workload
Conflict NMAC; Deviation / Discrepancy - Procedural Published Material / Policy
Flight Crew Took Evasive Action; Flight Crew Executed Go Around / Missed Approach
Human Factors
On a 1.5 mile final for ILS XX at ZZZ Aircraft Y turned to base right in front of us even though we had just made a radio call and he knew we were on a short final.  This caused the instructor to grab the controls and full throttle to go missed. Had we not done this we would have been within a hundred feet of Aircraft Y.  He knew where we were and disregarded our radio calls and cut us off.
Pilot reported a NMAC on final approach.