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Finding the Fourth Proportional to 1,147.97, 1,721.97 and 282.29

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Solution

The fourth proportional to 1,147.97, 1,721.97 and 282.29 is: 423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.97 : 1,721.97 = 282.29 : x
  2. Step 2: Convert to fraction form
    1,147.97/1,721.97 = 282.29/x
  3. Step 3: Cross multiply
    1,147.97x = 1,721.97 × 282.29
  4. Step 4: Simplify right side
    1,147.97x = 486,086.30
  5. Step 5: Solve for x
    x = 486,086.30/1,147.97
  6. Step 6: Final answer
    x = 423.43

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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.