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Finding the Fourth Proportional to 1,252.38, 1,727.96 and 728.04

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Solution

The fourth proportional to 1,252.38, 1,727.96 and 728.04 is: 1,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.38 : 1,727.96 = 728.04 : x
  2. Step 2: Convert to fraction form
    1,252.38/1,727.96 = 728.04/x
  3. Step 3: Cross multiply
    1,252.38x = 1,727.96 × 728.04
  4. Step 4: Simplify right side
    1,252.38x = 1,258,020.36
  5. Step 5: Solve for x
    x = 1,258,020.36/1,252.38
  6. Step 6: Final answer
    x = 1,004.50

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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.