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Finding the Fourth Proportional to 724.96, 1,086.88 and 285.92

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Solution

The fourth proportional to 724.96, 1,086.88 and 285.92 is: 428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.96 : 1,086.88 = 285.92 : x
  2. Step 2: Convert to fraction form
    724.96/1,086.88 = 285.92/x
  3. Step 3: Cross multiply
    724.96x = 1,086.88 × 285.92
  4. Step 4: Simplify right side
    724.96x = 310,760.73
  5. Step 5: Solve for x
    x = 310,760.73/724.96
  6. Step 6: Final answer
    x = 428.66

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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.