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Finding the Fourth Proportional to 1,250.16, 1,724.40 and 725.82

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Solution

The fourth proportional to 1,250.16, 1,724.40 and 725.82 is: 1,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.16 : 1,724.40 = 725.82 : x
  2. Step 2: Convert to fraction form
    1,250.16/1,724.40 = 725.82/x
  3. Step 3: Cross multiply
    1,250.16x = 1,724.40 × 725.82
  4. Step 4: Simplify right side
    1,250.16x = 1,251,604.01
  5. Step 5: Solve for x
    x = 1,251,604.01/1,250.16
  6. Step 6: Final answer
    x = 1,001.16

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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.