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Finding the Fourth Proportional to 724.54, 1,086.81 and 204.56

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Solution

The fourth proportional to 724.54, 1,086.81 and 204.56 is: 306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.54 : 1,086.81 = 204.56 : x
  2. Step 2: Convert to fraction form
    724.54/1,086.81 = 204.56/x
  3. Step 3: Cross multiply
    724.54x = 1,086.81 × 204.56
  4. Step 4: Simplify right side
    724.54x = 222,312.93
  5. Step 5: Solve for x
    x = 222,312.93/724.54
  6. Step 6: Final answer
    x = 306.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.