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Finding the Fourth Proportional to 667.88, 1,001.09 and 278.14

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Solution

The fourth proportional to 667.88, 1,001.09 and 278.14 is: 416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.88 : 1,001.09 = 278.14 : x
  2. Step 2: Convert to fraction form
    667.88/1,001.09 = 278.14/x
  3. Step 3: Cross multiply
    667.88x = 1,001.09 × 278.14
  4. Step 4: Simplify right side
    667.88x = 278,436.78
  5. Step 5: Solve for x
    x = 278,436.78/667.88
  6. Step 6: Final answer
    x = 416.90

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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.