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Finding the Fourth Proportional to 724.46, 1,086.14 and 291.38

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Solution

The fourth proportional to 724.46, 1,086.14 and 291.38 is: 436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.46 : 1,086.14 = 291.38 : x
  2. Step 2: Convert to fraction form
    724.46/1,086.14 = 291.38/x
  3. Step 3: Cross multiply
    724.46x = 1,086.14 × 291.38
  4. Step 4: Simplify right side
    724.46x = 316,479.47
  5. Step 5: Solve for x
    x = 316,479.47/724.46
  6. Step 6: Final answer
    x = 436.85

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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.