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Finding the Fourth Proportional to 969.42, 1,453.02 and 481.38

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Solution

The fourth proportional to 969.42, 1,453.02 and 481.38 is: 721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.42 : 1,453.02 = 481.38 : x
  2. Step 2: Convert to fraction form
    969.42/1,453.02 = 481.38/x
  3. Step 3: Cross multiply
    969.42x = 1,453.02 × 481.38
  4. Step 4: Simplify right side
    969.42x = 699,454.77
  5. Step 5: Solve for x
    x = 699,454.77/969.42
  6. Step 6: Final answer
    x = 721.52

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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.