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Finding the Fourth Proportional to 725.01, 1,086.72 and 377.97

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Solution

The fourth proportional to 725.01, 1,086.72 and 377.97 is: 566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.01 : 1,086.72 = 377.97 : x
  2. Step 2: Convert to fraction form
    725.01/1,086.72 = 377.97/x
  3. Step 3: Cross multiply
    725.01x = 1,086.72 × 377.97
  4. Step 4: Simplify right side
    725.01x = 410,747.56
  5. Step 5: Solve for x
    x = 410,747.56/725.01
  6. Step 6: Final answer
    x = 566.54

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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.