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Finding the Fourth Proportional to 823.26, 1,229.01 and 794.42

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Solution

The fourth proportional to 823.26, 1,229.01 and 794.42 is: 1,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.26 : 1,229.01 = 794.42 : x
  2. Step 2: Convert to fraction form
    823.26/1,229.01 = 794.42/x
  3. Step 3: Cross multiply
    823.26x = 1,229.01 × 794.42
  4. Step 4: Simplify right side
    823.26x = 976,348.86
  5. Step 5: Solve for x
    x = 976,348.86/823.26
  6. Step 6: Final answer
    x = 1,185.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.