The value of a rare coin, in dollars, is modeled by the function $V(t)=800(1.025{)}^t$, where $t$ is the number of years since its purchase. Another coin's value is modeled by $W(t)=1200(R{)}^{\frac{t}{3}}$, where $t$ is also the number of years. If both coins increase in value by the same percentage every year, what is the approximate value of $R$?