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Finding the Fourth Proportional to 667.20, 1,000.75 and 423.19

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Solution

The fourth proportional to 667.20, 1,000.75 and 423.19 is: 634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.20 : 1,000.75 = 423.19 : x
  2. Step 2: Convert to fraction form
    667.20/1,000.75 = 423.19/x
  3. Step 3: Cross multiply
    667.20x = 1,000.75 × 423.19
  4. Step 4: Simplify right side
    667.20x = 423,503.83
  5. Step 5: Solve for x
    x = 423,503.83/667.20
  6. Step 6: Final answer
    x = 634.75

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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.