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Finding the Fourth Proportional to 969.31, 1,452.57 and 481.80

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Solution

The fourth proportional to 969.31, 1,452.57 and 481.80 is: 722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.31 : 1,452.57 = 481.80 : x
  2. Step 2: Convert to fraction form
    969.31/1,452.57 = 481.80/x
  3. Step 3: Cross multiply
    969.31x = 1,452.57 × 481.80
  4. Step 4: Simplify right side
    969.31x = 699,848.23
  5. Step 5: Solve for x
    x = 699,848.23/969.31
  6. Step 6: Final answer
    x = 722.01

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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.