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Finding the Fourth Proportional to 754.82, 1,132.50 and 462.92

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Solution

The fourth proportional to 754.82, 1,132.50 and 462.92 is: 694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.82 : 1,132.50 = 462.92 : x
  2. Step 2: Convert to fraction form
    754.82/1,132.50 = 462.92/x
  3. Step 3: Cross multiply
    754.82x = 1,132.50 × 462.92
  4. Step 4: Simplify right side
    754.82x = 524,256.90
  5. Step 5: Solve for x
    x = 524,256.90/754.82
  6. Step 6: Final answer
    x = 694.55

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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.