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Finding the Fourth Proportional to 725.97, 1,089.33 and 520.95

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Solution

The fourth proportional to 725.97, 1,089.33 and 520.95 is: 781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.97 : 1,089.33 = 520.95 : x
  2. Step 2: Convert to fraction form
    725.97/1,089.33 = 520.95/x
  3. Step 3: Cross multiply
    725.97x = 1,089.33 × 520.95
  4. Step 4: Simplify right side
    725.97x = 567,486.46
  5. Step 5: Solve for x
    x = 567,486.46/725.97
  6. Step 6: Final answer
    x = 781.69

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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.