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Finding the Fourth Proportional to 750.29, 1,125.81 and 458.39

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Solution

The fourth proportional to 750.29, 1,125.81 and 458.39 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.29 : 1,125.81 = 458.39 : x
  2. Step 2: Convert to fraction form
    750.29/1,125.81 = 458.39/x
  3. Step 3: Cross multiply
    750.29x = 1,125.81 × 458.39
  4. Step 4: Simplify right side
    750.29x = 516,062.86
  5. Step 5: Solve for x
    x = 516,062.86/750.29
  6. Step 6: Final answer
    x = 687.82

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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.