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Finding the Fourth Proportional to 1,142.97, 1,714.49 and 321.31

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Solution

The fourth proportional to 1,142.97, 1,714.49 and 321.31 is: 481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.97 : 1,714.49 = 321.31 : x
  2. Step 2: Convert to fraction form
    1,142.97/1,714.49 = 321.31/x
  3. Step 3: Cross multiply
    1,142.97x = 1,714.49 × 321.31
  4. Step 4: Simplify right side
    1,142.97x = 550,882.78
  5. Step 5: Solve for x
    x = 550,882.78/1,142.97
  6. Step 6: Final answer
    x = 481.97

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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.