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Finding the Fourth Proportional to 751.33, 1,125.17 and 458.97

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Solution

The fourth proportional to 751.33, 1,125.17 and 458.97 is: 687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.33 : 1,125.17 = 458.97 : x
  2. Step 2: Convert to fraction form
    751.33/1,125.17 = 458.97/x
  3. Step 3: Cross multiply
    751.33x = 1,125.17 × 458.97
  4. Step 4: Simplify right side
    751.33x = 516,416.98
  5. Step 5: Solve for x
    x = 516,416.98/751.33
  6. Step 6: Final answer
    x = 687.34

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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.