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Finding the Fourth Proportional to 924.46, 1,387.09 and 539.71

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Solution

The fourth proportional to 924.46, 1,387.09 and 539.71 is: 809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.46 : 1,387.09 = 539.71 : x
  2. Step 2: Convert to fraction form
    924.46/1,387.09 = 539.71/x
  3. Step 3: Cross multiply
    924.46x = 1,387.09 × 539.71
  4. Step 4: Simplify right side
    924.46x = 748,616.71
  5. Step 5: Solve for x
    x = 748,616.71/924.46
  6. Step 6: Final answer
    x = 809.79

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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.