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Finding the Fourth Proportional to 1,728.73, 2,593.49 and 496.15

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Solution

The fourth proportional to 1,728.73, 2,593.49 and 496.15 is: 744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.73 : 2,593.49 = 496.15 : x
  2. Step 2: Convert to fraction form
    1,728.73/2,593.49 = 496.15/x
  3. Step 3: Cross multiply
    1,728.73x = 2,593.49 × 496.15
  4. Step 4: Simplify right side
    1,728.73x = 1,286,760.06
  5. Step 5: Solve for x
    x = 1,286,760.06/1,728.73
  6. Step 6: Final answer
    x = 744.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.