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Finding the Fourth Proportional to 1,042.41, 1,562.31 and 425.78

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Solution

The fourth proportional to 1,042.41, 1,562.31 and 425.78 is: 638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.41 : 1,562.31 = 425.78 : x
  2. Step 2: Convert to fraction form
    1,042.41/1,562.31 = 425.78/x
  3. Step 3: Cross multiply
    1,042.41x = 1,562.31 × 425.78
  4. Step 4: Simplify right side
    1,042.41x = 665,192.54
  5. Step 5: Solve for x
    x = 665,192.54/1,042.41
  6. Step 6: Final answer
    x = 638.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.