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Finding the Fourth Proportional to 725.08, 1,086.25 and 359.67

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Solution

The fourth proportional to 725.08, 1,086.25 and 359.67 is: 538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.08 : 1,086.25 = 359.67 : x
  2. Step 2: Convert to fraction form
    725.08/1,086.25 = 359.67/x
  3. Step 3: Cross multiply
    725.08x = 1,086.25 × 359.67
  4. Step 4: Simplify right side
    725.08x = 390,691.54
  5. Step 5: Solve for x
    x = 390,691.54/725.08
  6. Step 6: Final answer
    x = 538.83

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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.