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Finding the Fourth Proportional to 968.52, 1,452.17 and 481.91

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Solution

The fourth proportional to 968.52, 1,452.17 and 481.91 is: 722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.52 : 1,452.17 = 481.91 : x
  2. Step 2: Convert to fraction form
    968.52/1,452.17 = 481.91/x
  3. Step 3: Cross multiply
    968.52x = 1,452.17 × 481.91
  4. Step 4: Simplify right side
    968.52x = 699,815.24
  5. Step 5: Solve for x
    x = 699,815.24/968.52
  6. Step 6: Final answer
    x = 722.56

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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.