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Finding the Fourth Proportional to 725.10, 1,086.85 and 237.79

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Solution

The fourth proportional to 725.10, 1,086.85 and 237.79 is: 356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.10 : 1,086.85 = 237.79 : x
  2. Step 2: Convert to fraction form
    725.10/1,086.85 = 237.79/x
  3. Step 3: Cross multiply
    725.10x = 1,086.85 × 237.79
  4. Step 4: Simplify right side
    725.10x = 258,442.06
  5. Step 5: Solve for x
    x = 258,442.06/725.10
  6. Step 6: Final answer
    x = 356.42

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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.