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Finding the Fourth Proportional to 821.55, 1,231.87 and 273.44

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Solution

The fourth proportional to 821.55, 1,231.87 and 273.44 is: 410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.55 : 1,231.87 = 273.44 : x
  2. Step 2: Convert to fraction form
    821.55/1,231.87 = 273.44/x
  3. Step 3: Cross multiply
    821.55x = 1,231.87 × 273.44
  4. Step 4: Simplify right side
    821.55x = 336,842.53
  5. Step 5: Solve for x
    x = 336,842.53/821.55
  6. Step 6: Final answer
    x = 410.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.