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Finding the Fourth Proportional to 853.17, 1,278.37 and 441.73

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Solution

The fourth proportional to 853.17, 1,278.37 and 441.73 is: 661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.17 : 1,278.37 = 441.73 : x
  2. Step 2: Convert to fraction form
    853.17/1,278.37 = 441.73/x
  3. Step 3: Cross multiply
    853.17x = 1,278.37 × 441.73
  4. Step 4: Simplify right side
    853.17x = 564,694.38
  5. Step 5: Solve for x
    x = 564,694.38/853.17
  6. Step 6: Final answer
    x = 661.88

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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.