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Finding the Fourth Proportional to 757.14, 1,134.89 and 318.27

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Solution

The fourth proportional to 757.14, 1,134.89 and 318.27 is: 477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.14 : 1,134.89 = 318.27 : x
  2. Step 2: Convert to fraction form
    757.14/1,134.89 = 318.27/x
  3. Step 3: Cross multiply
    757.14x = 1,134.89 × 318.27
  4. Step 4: Simplify right side
    757.14x = 361,201.44
  5. Step 5: Solve for x
    x = 361,201.44/757.14
  6. Step 6: Final answer
    x = 477.06

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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.