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Finding the Fourth Proportional to 757.92, 1,135.64 and 575.08

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Solution

The fourth proportional to 757.92, 1,135.64 and 575.08 is: 861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.92 : 1,135.64 = 575.08 : x
  2. Step 2: Convert to fraction form
    757.92/1,135.64 = 575.08/x
  3. Step 3: Cross multiply
    757.92x = 1,135.64 × 575.08
  4. Step 4: Simplify right side
    757.92x = 653,083.85
  5. Step 5: Solve for x
    x = 653,083.85/757.92
  6. Step 6: Final answer
    x = 861.68

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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.