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Finding the Fourth Proportional to 667.87, 1,001.88 and 277.90

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Solution

The fourth proportional to 667.87, 1,001.88 and 277.90 is: 416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.87 : 1,001.88 = 277.90 : x
  2. Step 2: Convert to fraction form
    667.87/1,001.88 = 277.90/x
  3. Step 3: Cross multiply
    667.87x = 1,001.88 × 277.90
  4. Step 4: Simplify right side
    667.87x = 278,422.45
  5. Step 5: Solve for x
    x = 278,422.45/667.87
  6. Step 6: Final answer
    x = 416.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.