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Finding the Fourth Proportional to 1,027.29, 1,542.36 and 527.31

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Solution

The fourth proportional to 1,027.29, 1,542.36 and 527.31 is: 791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.29 : 1,542.36 = 527.31 : x
  2. Step 2: Convert to fraction form
    1,027.29/1,542.36 = 527.31/x
  3. Step 3: Cross multiply
    1,027.29x = 1,542.36 × 527.31
  4. Step 4: Simplify right side
    1,027.29x = 813,306.79
  5. Step 5: Solve for x
    x = 813,306.79/1,027.29
  6. Step 6: Final answer
    x = 791.70

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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.