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Finding the Fourth Proportional to 925.92, 1,278.23 and 611.39

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Solution

The fourth proportional to 925.92, 1,278.23 and 611.39 is: 844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.92 : 1,278.23 = 611.39 : x
  2. Step 2: Convert to fraction form
    925.92/1,278.23 = 611.39/x
  3. Step 3: Cross multiply
    925.92x = 1,278.23 × 611.39
  4. Step 4: Simplify right side
    925.92x = 781,497.04
  5. Step 5: Solve for x
    x = 781,497.04/925.92
  6. Step 6: Final answer
    x = 844.02

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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.