An object of mass m is being acted by the following 3 forces: F1 = 500 N @ 45⸰ North of East, F2 = 750 N @ 30⸰ West of North and F3 = 400 N @ 30⸰ South of West.  Find mathematically the magnitude and direction of a fourth force F4 that will maintain the object at equilibrium.  Ignore the weight of the object. Provide free body diagram for the system and the sum of the forces along the axis.

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