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Finding the Fourth Proportional to 1,042.28, 1,562.70 and 521.54

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Solution

The fourth proportional to 1,042.28, 1,562.70 and 521.54 is: 781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.28 : 1,562.70 = 521.54 : x
  2. Step 2: Convert to fraction form
    1,042.28/1,562.70 = 521.54/x
  3. Step 3: Cross multiply
    1,042.28x = 1,562.70 × 521.54
  4. Step 4: Simplify right side
    1,042.28x = 815,010.56
  5. Step 5: Solve for x
    x = 815,010.56/1,042.28
  6. Step 6: Final answer
    x = 781.95

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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.