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Finding the Fourth Proportional to 667.12, 1,000.70 and 250.56

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Solution

The fourth proportional to 667.12, 1,000.70 and 250.56 is: 375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.12 : 1,000.70 = 250.56 : x
  2. Step 2: Convert to fraction form
    667.12/1,000.70 = 250.56/x
  3. Step 3: Cross multiply
    667.12x = 1,000.70 × 250.56
  4. Step 4: Simplify right side
    667.12x = 250,735.39
  5. Step 5: Solve for x
    x = 250,735.39/667.12
  6. Step 6: Final answer
    x = 375.85

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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.