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Finding the Fourth Proportional to 1,060.31, 1,590.45 and 411.17

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Solution

The fourth proportional to 1,060.31, 1,590.45 and 411.17 is: 616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.31 : 1,590.45 = 411.17 : x
  2. Step 2: Convert to fraction form
    1,060.31/1,590.45 = 411.17/x
  3. Step 3: Cross multiply
    1,060.31x = 1,590.45 × 411.17
  4. Step 4: Simplify right side
    1,060.31x = 653,945.33
  5. Step 5: Solve for x
    x = 653,945.33/1,060.31
  6. Step 6: Final answer
    x = 616.75

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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.