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Finding the Fourth Proportional to 1,042.38, 1,562.04 and 494.46

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Solution

The fourth proportional to 1,042.38, 1,562.04 and 494.46 is: 740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.38 : 1,562.04 = 494.46 : x
  2. Step 2: Convert to fraction form
    1,042.38/1,562.04 = 494.46/x
  3. Step 3: Cross multiply
    1,042.38x = 1,562.04 × 494.46
  4. Step 4: Simplify right side
    1,042.38x = 772,366.30
  5. Step 5: Solve for x
    x = 772,366.30/1,042.38
  6. Step 6: Final answer
    x = 740.96

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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.