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Finding the Fourth Proportional to 728.73, 1,005.24 and 462.68

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Solution

The fourth proportional to 728.73, 1,005.24 and 462.68 is: 638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.73 : 1,005.24 = 462.68 : x
  2. Step 2: Convert to fraction form
    728.73/1,005.24 = 462.68/x
  3. Step 3: Cross multiply
    728.73x = 1,005.24 × 462.68
  4. Step 4: Simplify right side
    728.73x = 465,104.44
  5. Step 5: Solve for x
    x = 465,104.44/728.73
  6. Step 6: Final answer
    x = 638.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.