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Finding the Fourth Proportional to 821.69, 1,232.17 and 273.73

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Solution

The fourth proportional to 821.69, 1,232.17 and 273.73 is: 410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.69 : 1,232.17 = 273.73 : x
  2. Step 2: Convert to fraction form
    821.69/1,232.17 = 273.73/x
  3. Step 3: Cross multiply
    821.69x = 1,232.17 × 273.73
  4. Step 4: Simplify right side
    821.69x = 337,281.89
  5. Step 5: Solve for x
    x = 337,281.89/821.69
  6. Step 6: Final answer
    x = 410.47

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Double scale
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1.5x scale

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.