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Finding the Fourth Proportional to 1,032.29, 1,424.55 and 560.18

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Solution

The fourth proportional to 1,032.29, 1,424.55 and 560.18 is: 773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.29 : 1,424.55 = 560.18 : x
  2. Step 2: Convert to fraction form
    1,032.29/1,424.55 = 560.18/x
  3. Step 3: Cross multiply
    1,032.29x = 1,424.55 × 560.18
  4. Step 4: Simplify right side
    1,032.29x = 797,997.30
  5. Step 5: Solve for x
    x = 797,997.30/1,032.29
  6. Step 6: Final answer
    x = 773.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.