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Finding the Fourth Proportional to 754.14, 1,131.57 and 466.14

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Solution

The fourth proportional to 754.14, 1,131.57 and 466.14 is: 699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.14 : 1,131.57 = 466.14 : x
  2. Step 2: Convert to fraction form
    754.14/1,131.57 = 466.14/x
  3. Step 3: Cross multiply
    754.14x = 1,131.57 × 466.14
  4. Step 4: Simplify right side
    754.14x = 527,470.04
  5. Step 5: Solve for x
    x = 527,470.04/754.14
  6. Step 6: Final answer
    x = 699.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.