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Finding the Fourth Proportional to 754.25, 1,132.28 and 460.82

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Solution

The fourth proportional to 754.25, 1,132.28 and 460.82 is: 691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.25 : 1,132.28 = 460.82 : x
  2. Step 2: Convert to fraction form
    754.25/1,132.28 = 460.82/x
  3. Step 3: Cross multiply
    754.25x = 1,132.28 × 460.82
  4. Step 4: Simplify right side
    754.25x = 521,779.52
  5. Step 5: Solve for x
    x = 521,779.52/754.25
  6. Step 6: Final answer
    x = 691.79

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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.