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Finding the Fourth Proportional to 667.91, 1,001.97 and 394.13

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Solution

The fourth proportional to 667.91, 1,001.97 and 394.13 is: 591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.91 : 1,001.97 = 394.13 : x
  2. Step 2: Convert to fraction form
    667.91/1,001.97 = 394.13/x
  3. Step 3: Cross multiply
    667.91x = 1,001.97 × 394.13
  4. Step 4: Simplify right side
    667.91x = 394,908.94
  5. Step 5: Solve for x
    x = 394,908.94/667.91
  6. Step 6: Final answer
    x = 591.26

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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.