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Finding the Fourth Proportional to 1,463.13, 2,195.01 and 488.97

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Solution

The fourth proportional to 1,463.13, 2,195.01 and 488.97 is: 733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.13 : 2,195.01 = 488.97 : x
  2. Step 2: Convert to fraction form
    1,463.13/2,195.01 = 488.97/x
  3. Step 3: Cross multiply
    1,463.13x = 2,195.01 × 488.97
  4. Step 4: Simplify right side
    1,463.13x = 1,073,294.04
  5. Step 5: Solve for x
    x = 1,073,294.04/1,463.13
  6. Step 6: Final answer
    x = 733.56

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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.