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Finding the Fourth Proportional to 1,253.25, 1,729.14 and 728.97

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Solution

The fourth proportional to 1,253.25, 1,729.14 and 728.97 is: 1,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.25 : 1,729.14 = 728.97 : x
  2. Step 2: Convert to fraction form
    1,253.25/1,729.14 = 728.97/x
  3. Step 3: Cross multiply
    1,253.25x = 1,729.14 × 728.97
  4. Step 4: Simplify right side
    1,253.25x = 1,260,491.19
  5. Step 5: Solve for x
    x = 1,260,491.19/1,253.25
  6. Step 6: Final answer
    x = 1,005.78

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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.