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Finding the Fourth Proportional to 1,728.91, 2,593.49 and 496.29

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Solution

The fourth proportional to 1,728.91, 2,593.49 and 496.29 is: 744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.91 : 2,593.49 = 496.29 : x
  2. Step 2: Convert to fraction form
    1,728.91/2,593.49 = 496.29/x
  3. Step 3: Cross multiply
    1,728.91x = 2,593.49 × 496.29
  4. Step 4: Simplify right side
    1,728.91x = 1,287,130.40
  5. Step 5: Solve for x
    x = 1,287,130.40/1,728.91
  6. Step 6: Final answer
    x = 744.47

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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.