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Finding the Fourth Proportional to 944.34, 1,414.92 and 481.62

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Solution

The fourth proportional to 944.34, 1,414.92 and 481.62 is: 721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.34 : 1,414.92 = 481.62 : x
  2. Step 2: Convert to fraction form
    944.34/1,414.92 = 481.62/x
  3. Step 3: Cross multiply
    944.34x = 1,414.92 × 481.62
  4. Step 4: Simplify right side
    944.34x = 681,453.77
  5. Step 5: Solve for x
    x = 681,453.77/944.34
  6. Step 6: Final answer
    x = 721.62

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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.