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Finding the Fourth Proportional to 823.20, 1,234.92 and 677.10

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Solution

The fourth proportional to 823.20, 1,234.92 and 677.10 is: 1,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.20 : 1,234.92 = 677.10 : x
  2. Step 2: Convert to fraction form
    823.20/1,234.92 = 677.10/x
  3. Step 3: Cross multiply
    823.20x = 1,234.92 × 677.10
  4. Step 4: Simplify right side
    823.20x = 836,164.33
  5. Step 5: Solve for x
    x = 836,164.33/823.20
  6. Step 6: Final answer
    x = 1,015.75

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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.