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Finding the Fourth Proportional to 821.86, 1,232.75 and 205.56

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Solution

The fourth proportional to 821.86, 1,232.75 and 205.56 is: 308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.86 : 1,232.75 = 205.56 : x
  2. Step 2: Convert to fraction form
    821.86/1,232.75 = 205.56/x
  3. Step 3: Cross multiply
    821.86x = 1,232.75 × 205.56
  4. Step 4: Simplify right side
    821.86x = 253,404.60
  5. Step 5: Solve for x
    x = 253,404.60/821.86
  6. Step 6: Final answer
    x = 308.33

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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.