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Finding the Fourth Proportional to 968.86, 1,453.74 and 481.96

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Solution

The fourth proportional to 968.86, 1,453.74 and 481.96 is: 723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.86 : 1,453.74 = 481.96 : x
  2. Step 2: Convert to fraction form
    968.86/1,453.74 = 481.96/x
  3. Step 3: Cross multiply
    968.86x = 1,453.74 × 481.96
  4. Step 4: Simplify right side
    968.86x = 700,644.53
  5. Step 5: Solve for x
    x = 700,644.53/968.86
  6. Step 6: Final answer
    x = 723.16

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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.