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Finding the Fourth Proportional to 968.27, 1,453.41 and 481.68

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Solution

The fourth proportional to 968.27, 1,453.41 and 481.68 is: 723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.27 : 1,453.41 = 481.68 : x
  2. Step 2: Convert to fraction form
    968.27/1,453.41 = 481.68/x
  3. Step 3: Cross multiply
    968.27x = 1,453.41 × 481.68
  4. Step 4: Simplify right side
    968.27x = 700,078.53
  5. Step 5: Solve for x
    x = 700,078.53/968.27
  6. Step 6: Final answer
    x = 723.02

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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.