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Finding the Fourth Proportional to 1,042.13, 1,563.29 and 425.88

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Solution

The fourth proportional to 1,042.13, 1,563.29 and 425.88 is: 638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.13 : 1,563.29 = 425.88 : x
  2. Step 2: Convert to fraction form
    1,042.13/1,563.29 = 425.88/x
  3. Step 3: Cross multiply
    1,042.13x = 1,563.29 × 425.88
  4. Step 4: Simplify right side
    1,042.13x = 665,773.95
  5. Step 5: Solve for x
    x = 665,773.95/1,042.13
  6. Step 6: Final answer
    x = 638.86

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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.