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Finding the Fourth Proportional to 961.09, 1,441.85 and 311.89

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Solution

The fourth proportional to 961.09, 1,441.85 and 311.89 is: 467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.09 : 1,441.85 = 311.89 : x
  2. Step 2: Convert to fraction form
    961.09/1,441.85 = 311.89/x
  3. Step 3: Cross multiply
    961.09x = 1,441.85 × 311.89
  4. Step 4: Simplify right side
    961.09x = 449,697.04
  5. Step 5: Solve for x
    x = 449,697.04/961.09
  6. Step 6: Final answer
    x = 467.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.