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Finding the Fourth Proportional to 725.86, 1,000.33 and 539.05

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Solution

The fourth proportional to 725.86, 1,000.33 and 539.05 is: 742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.86 : 1,000.33 = 539.05 : x
  2. Step 2: Convert to fraction form
    725.86/1,000.33 = 539.05/x
  3. Step 3: Cross multiply
    725.86x = 1,000.33 × 539.05
  4. Step 4: Simplify right side
    725.86x = 539,227.89
  5. Step 5: Solve for x
    x = 539,227.89/725.86
  6. Step 6: Final answer
    x = 742.89

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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.