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Finding the Fourth Proportional to 1,728.18, 2,591.85 and 495.30

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Solution

The fourth proportional to 1,728.18, 2,591.85 and 495.30 is: 742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.18 : 2,591.85 = 495.30 : x
  2. Step 2: Convert to fraction form
    1,728.18/2,591.85 = 495.30/x
  3. Step 3: Cross multiply
    1,728.18x = 2,591.85 × 495.30
  4. Step 4: Simplify right side
    1,728.18x = 1,283,743.31
  5. Step 5: Solve for x
    x = 1,283,743.31/1,728.18
  6. Step 6: Final answer
    x = 742.83

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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.