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Finding the Fourth Proportional to 821.22, 1,231.86 and 591.14

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Solution

The fourth proportional to 821.22, 1,231.86 and 591.14 is: 886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.22 : 1,231.86 = 591.14 : x
  2. Step 2: Convert to fraction form
    821.22/1,231.86 = 591.14/x
  3. Step 3: Cross multiply
    821.22x = 1,231.86 × 591.14
  4. Step 4: Simplify right side
    821.22x = 728,201.72
  5. Step 5: Solve for x
    x = 728,201.72/821.22
  6. Step 6: Final answer
    x = 886.73

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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.