It seems to me that rotor voltage proportional to slip is a good approximation if we are comparing two cases where rotor is open-circuited in both cases.
If instead the motor is overloaded as I think is Gus' case, then there will be high current through the stator series leakage reactance would tend to decrease the rotor voltage below the proportional-to-slip.
Back to pierre's problem, I would think we might expect even slightly higher than proportional (higher than 1635V=1090V x 900RPM/600RPM) if the 1090v is based upon full load current through primary reactance, while only magnetizing current flows through reactance in the the 300rpm reverse rotation, open-circuited rotor configuration.