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Finding the Fourth Proportional to 1,252.87, 1,728.69 and 721.75

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Solution

The fourth proportional to 1,252.87, 1,728.69 and 721.75 is: 995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.87 : 1,728.69 = 721.75 : x
  2. Step 2: Convert to fraction form
    1,252.87/1,728.69 = 721.75/x
  3. Step 3: Cross multiply
    1,252.87x = 1,728.69 × 721.75
  4. Step 4: Simplify right side
    1,252.87x = 1,247,679.85
  5. Step 5: Solve for x
    x = 1,247,679.85/1,252.87
  6. Step 6: Final answer
    x = 995.86

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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.