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Finding the Fourth Proportional to 961.20, 1,441.80 and 267.83

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Solution

The fourth proportional to 961.20, 1,441.80 and 267.83 is: 401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.20 : 1,441.80 = 267.83 : x
  2. Step 2: Convert to fraction form
    961.20/1,441.80 = 267.83/x
  3. Step 3: Cross multiply
    961.20x = 1,441.80 × 267.83
  4. Step 4: Simplify right side
    961.20x = 386,157.29
  5. Step 5: Solve for x
    x = 386,157.29/961.20
  6. Step 6: Final answer
    x = 401.75

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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.