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Finding the Fourth Proportional to 725.98, 1,002.10 and 490.28

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Solution

The fourth proportional to 725.98, 1,002.10 and 490.28 is: 676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.98 : 1,002.10 = 490.28 : x
  2. Step 2: Convert to fraction form
    725.98/1,002.10 = 490.28/x
  3. Step 3: Cross multiply
    725.98x = 1,002.10 × 490.28
  4. Step 4: Simplify right side
    725.98x = 491,309.59
  5. Step 5: Solve for x
    x = 491,309.59/725.98
  6. Step 6: Final answer
    x = 676.75

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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.