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Finding the Fourth Proportional to 925.43, 1,274.91 and 645.15

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Solution

The fourth proportional to 925.43, 1,274.91 and 645.15 is: 888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.43 : 1,274.91 = 645.15 : x
  2. Step 2: Convert to fraction form
    925.43/1,274.91 = 645.15/x
  3. Step 3: Cross multiply
    925.43x = 1,274.91 × 645.15
  4. Step 4: Simplify right side
    925.43x = 822,503.38
  5. Step 5: Solve for x
    x = 822,503.38/925.43
  6. Step 6: Final answer
    x = 888.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.