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Finding the Fourth Proportional to 1,251.72, 1,727.50 and 720.62

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Solution

The fourth proportional to 1,251.72, 1,727.50 and 720.62 is: 994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.72 : 1,727.50 = 720.62 : x
  2. Step 2: Convert to fraction form
    1,251.72/1,727.50 = 720.62/x
  3. Step 3: Cross multiply
    1,251.72x = 1,727.50 × 720.62
  4. Step 4: Simplify right side
    1,251.72x = 1,244,869.25
  5. Step 5: Solve for x
    x = 1,244,869.25/1,251.72
  6. Step 6: Final answer
    x = 994.53

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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.