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Finding the Fourth Proportional to 1,728.40, 2,591.82 and 495.53

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Solution

The fourth proportional to 1,728.40, 2,591.82 and 495.53 is: 743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.40 : 2,591.82 = 495.53 : x
  2. Step 2: Convert to fraction form
    1,728.40/2,591.82 = 495.53/x
  3. Step 3: Cross multiply
    1,728.40x = 2,591.82 × 495.53
  4. Step 4: Simplify right side
    1,728.40x = 1,284,324.56
  5. Step 5: Solve for x
    x = 1,284,324.56/1,728.40
  6. Step 6: Final answer
    x = 743.07

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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.