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Finding the Fourth Proportional to 1,728.78, 2,593.16 and 496.20

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Solution

The fourth proportional to 1,728.78, 2,593.16 and 496.20 is: 744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.78 : 2,593.16 = 496.20 : x
  2. Step 2: Convert to fraction form
    1,728.78/2,593.16 = 496.20/x
  3. Step 3: Cross multiply
    1,728.78x = 2,593.16 × 496.20
  4. Step 4: Simplify right side
    1,728.78x = 1,286,713.03
  5. Step 5: Solve for x
    x = 1,286,713.03/1,728.78
  6. Step 6: Final answer
    x = 744.29

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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.