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Finding the Fourth Proportional to 725.11, 1,001.13 and 559.03

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Solution

The fourth proportional to 725.11, 1,001.13 and 559.03 is: 771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.11 : 1,001.13 = 559.03 : x
  2. Step 2: Convert to fraction form
    725.11/1,001.13 = 559.03/x
  3. Step 3: Cross multiply
    725.11x = 1,001.13 × 559.03
  4. Step 4: Simplify right side
    725.11x = 559,661.70
  5. Step 5: Solve for x
    x = 559,661.70/725.11
  6. Step 6: Final answer
    x = 771.83

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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.