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Finding the Fourth Proportional to 1,024.13, 1,411.68 and 939.38

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Solution

The fourth proportional to 1,024.13, 1,411.68 and 939.38 is: 1,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.13 : 1,411.68 = 939.38 : x
  2. Step 2: Convert to fraction form
    1,024.13/1,411.68 = 939.38/x
  3. Step 3: Cross multiply
    1,024.13x = 1,411.68 × 939.38
  4. Step 4: Simplify right side
    1,024.13x = 1,326,103.96
  5. Step 5: Solve for x
    x = 1,326,103.96/1,024.13
  6. Step 6: Final answer
    x = 1,294.86

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Why These Related Problems?

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