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Finding the Fourth Proportional to 725.28, 1,087.91 and 314.17

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Solution

The fourth proportional to 725.28, 1,087.91 and 314.17 is: 471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.28 : 1,087.91 = 314.17 : x
  2. Step 2: Convert to fraction form
    725.28/1,087.91 = 314.17/x
  3. Step 3: Cross multiply
    725.28x = 1,087.91 × 314.17
  4. Step 4: Simplify right side
    725.28x = 341,788.68
  5. Step 5: Solve for x
    x = 341,788.68/725.28
  6. Step 6: Final answer
    x = 471.25

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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.