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Finding the Fourth Proportional to 757.14, 1,134.81 and 431.88

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Solution

The fourth proportional to 757.14, 1,134.81 and 431.88 is: 647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.14 : 1,134.81 = 431.88 : x
  2. Step 2: Convert to fraction form
    757.14/1,134.81 = 431.88/x
  3. Step 3: Cross multiply
    757.14x = 1,134.81 × 431.88
  4. Step 4: Simplify right side
    757.14x = 490,101.74
  5. Step 5: Solve for x
    x = 490,101.74/757.14
  6. Step 6: Final answer
    x = 647.31

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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.