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Finding the Fourth Proportional to 1,042.61, 1,562.90 and 579.96

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Solution

The fourth proportional to 1,042.61, 1,562.90 and 579.96 is: 869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.61 : 1,562.90 = 579.96 : x
  2. Step 2: Convert to fraction form
    1,042.61/1,562.90 = 579.96/x
  3. Step 3: Cross multiply
    1,042.61x = 1,562.90 × 579.96
  4. Step 4: Simplify right side
    1,042.61x = 906,416.58
  5. Step 5: Solve for x
    x = 906,416.58/1,042.61
  6. Step 6: Final answer
    x = 869.38

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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.