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Finding the Fourth Proportional to 1,042.38, 1,563.66 and 426.12

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Solution

The fourth proportional to 1,042.38, 1,563.66 and 426.12 is: 639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.38 : 1,563.66 = 426.12 : x
  2. Step 2: Convert to fraction form
    1,042.38/1,563.66 = 426.12/x
  3. Step 3: Cross multiply
    1,042.38x = 1,563.66 × 426.12
  4. Step 4: Simplify right side
    1,042.38x = 666,306.80
  5. Step 5: Solve for x
    x = 666,306.80/1,042.38
  6. Step 6: Final answer
    x = 639.22

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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.