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Finding the Fourth Proportional to 757.67, 1,137.31 and 615.11

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Solution

The fourth proportional to 757.67, 1,137.31 and 615.11 is: 923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.67 : 1,137.31 = 615.11 : x
  2. Step 2: Convert to fraction form
    757.67/1,137.31 = 615.11/x
  3. Step 3: Cross multiply
    757.67x = 1,137.31 × 615.11
  4. Step 4: Simplify right side
    757.67x = 699,565.07
  5. Step 5: Solve for x
    x = 699,565.07/757.67
  6. Step 6: Final answer
    x = 923.32

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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.