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Finding the Fourth Proportional to 961.14, 1,442.03 and 311.88

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Solution

The fourth proportional to 961.14, 1,442.03 and 311.88 is: 467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.14 : 1,442.03 = 311.88 : x
  2. Step 2: Convert to fraction form
    961.14/1,442.03 = 311.88/x
  3. Step 3: Cross multiply
    961.14x = 1,442.03 × 311.88
  4. Step 4: Simplify right side
    961.14x = 449,738.76
  5. Step 5: Solve for x
    x = 449,738.76/961.14
  6. Step 6: Final answer
    x = 467.92

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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.