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Finding the Fourth Proportional to 821.68, 1,232.22 and 273.70

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Solution

The fourth proportional to 821.68, 1,232.22 and 273.70 is: 410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.68 : 1,232.22 = 273.70 : x
  2. Step 2: Convert to fraction form
    821.68/1,232.22 = 273.70/x
  3. Step 3: Cross multiply
    821.68x = 1,232.22 × 273.70
  4. Step 4: Simplify right side
    821.68x = 337,258.61
  5. Step 5: Solve for x
    x = 337,258.61/821.68
  6. Step 6: Final answer
    x = 410.45

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Half scale
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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.