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Finding the Fourth Proportional to 822.13, 1,233.15 and 205.80

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Solution

The fourth proportional to 822.13, 1,233.15 and 205.80 is: 308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.13 : 1,233.15 = 205.80 : x
  2. Step 2: Convert to fraction form
    822.13/1,233.15 = 205.80/x
  3. Step 3: Cross multiply
    822.13x = 1,233.15 × 205.80
  4. Step 4: Simplify right side
    822.13x = 253,780.34
  5. Step 5: Solve for x
    x = 253,780.34/822.13
  6. Step 6: Final answer
    x = 308.69

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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.