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Finding the Fourth Proportional to 664.60, 1,002.24 and 660.28

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Solution

The fourth proportional to 664.60, 1,002.24 and 660.28 is: 995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.60 : 1,002.24 = 660.28 : x
  2. Step 2: Convert to fraction form
    664.60/1,002.24 = 660.28/x
  3. Step 3: Cross multiply
    664.60x = 1,002.24 × 660.28
  4. Step 4: Simplify right side
    664.60x = 661,759.03
  5. Step 5: Solve for x
    x = 661,759.03/664.60
  6. Step 6: Final answer
    x = 995.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.