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Finding the Fourth Proportional to 821.58, 1,232.10 and 273.61

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Solution

The fourth proportional to 821.58, 1,232.10 and 273.61 is: 410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.58 : 1,232.10 = 273.61 : x
  2. Step 2: Convert to fraction form
    821.58/1,232.10 = 273.61/x
  3. Step 3: Cross multiply
    821.58x = 1,232.10 × 273.61
  4. Step 4: Simplify right side
    821.58x = 337,117.96
  5. Step 5: Solve for x
    x = 337,117.96/821.58
  6. Step 6: Final answer
    x = 410.33

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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.