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Finding the Fourth Proportional to 725.90, 1,002.69 and 586.53

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Solution

The fourth proportional to 725.90, 1,002.69 and 586.53 is: 810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.90 : 1,002.69 = 586.53 : x
  2. Step 2: Convert to fraction form
    725.90/1,002.69 = 586.53/x
  3. Step 3: Cross multiply
    725.90x = 1,002.69 × 586.53
  4. Step 4: Simplify right side
    725.90x = 588,107.77
  5. Step 5: Solve for x
    x = 588,107.77/725.90
  6. Step 6: Final answer
    x = 810.18

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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.