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Finding the Fourth Proportional to 725.79, 1,087.61 and 520.80

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Solution

The fourth proportional to 725.79, 1,087.61 and 520.80 is: 780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.79 : 1,087.61 = 520.80 : x
  2. Step 2: Convert to fraction form
    725.79/1,087.61 = 520.80/x
  3. Step 3: Cross multiply
    725.79x = 1,087.61 × 520.80
  4. Step 4: Simplify right side
    725.79x = 566,424.68
  5. Step 5: Solve for x
    x = 566,424.68/725.79
  6. Step 6: Final answer
    x = 780.43

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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.