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Finding the Fourth Proportional to 764.56, 1,054.98 and 502.56

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Solution

The fourth proportional to 764.56, 1,054.98 and 502.56 is: 693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.56 : 1,054.98 = 502.56 : x
  2. Step 2: Convert to fraction form
    764.56/1,054.98 = 502.56/x
  3. Step 3: Cross multiply
    764.56x = 1,054.98 × 502.56
  4. Step 4: Simplify right side
    764.56x = 530,190.75
  5. Step 5: Solve for x
    x = 530,190.75/764.56
  6. Step 6: Final answer
    x = 693.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.