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Finding the Fourth Proportional to 851.85, 1,277.82 and 441.79

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Solution

The fourth proportional to 851.85, 1,277.82 and 441.79 is: 662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.85 : 1,277.82 = 441.79 : x
  2. Step 2: Convert to fraction form
    851.85/1,277.82 = 441.79/x
  3. Step 3: Cross multiply
    851.85x = 1,277.82 × 441.79
  4. Step 4: Simplify right side
    851.85x = 564,523.66
  5. Step 5: Solve for x
    x = 564,523.66/851.85
  6. Step 6: Final answer
    x = 662.70

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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.