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Finding the Fourth Proportional to 667.14, 1,001.16 and 423.42

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Solution

The fourth proportional to 667.14, 1,001.16 and 423.42 is: 635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.14 : 1,001.16 = 423.42 : x
  2. Step 2: Convert to fraction form
    667.14/1,001.16 = 423.42/x
  3. Step 3: Cross multiply
    667.14x = 1,001.16 × 423.42
  4. Step 4: Simplify right side
    667.14x = 423,911.17
  5. Step 5: Solve for x
    x = 423,911.17/667.14
  6. Step 6: Final answer
    x = 635.42

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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.