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Finding the Fourth Proportional to 667.96, 1,001.22 and 343.72

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Solution

The fourth proportional to 667.96, 1,001.22 and 343.72 is: 515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.96 : 1,001.22 = 343.72 : x
  2. Step 2: Convert to fraction form
    667.96/1,001.22 = 343.72/x
  3. Step 3: Cross multiply
    667.96x = 1,001.22 × 343.72
  4. Step 4: Simplify right side
    667.96x = 344,139.34
  5. Step 5: Solve for x
    x = 344,139.34/667.96
  6. Step 6: Final answer
    x = 515.21

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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.