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Finding the Fourth Proportional to 754.25, 1,132.16 and 461.95

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Solution

The fourth proportional to 754.25, 1,132.16 and 461.95 is: 693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.25 : 1,132.16 = 461.95 : x
  2. Step 2: Convert to fraction form
    754.25/1,132.16 = 461.95/x
  3. Step 3: Cross multiply
    754.25x = 1,132.16 × 461.95
  4. Step 4: Simplify right side
    754.25x = 523,000.42
  5. Step 5: Solve for x
    x = 523,000.42/754.25
  6. Step 6: Final answer
    x = 693.41

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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.