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Finding the Fourth Proportional to 667.40, 1,000.14 and 378.92

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Solution

The fourth proportional to 667.40, 1,000.14 and 378.92 is: 567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.40 : 1,000.14 = 378.92 : x
  2. Step 2: Convert to fraction form
    667.40/1,000.14 = 378.92/x
  3. Step 3: Cross multiply
    667.40x = 1,000.14 × 378.92
  4. Step 4: Simplify right side
    667.40x = 378,973.05
  5. Step 5: Solve for x
    x = 378,973.05/667.40
  6. Step 6: Final answer
    x = 567.83

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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.