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Finding the Fourth Proportional to 823.29, 1,233.55 and 791.28

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Solution

The fourth proportional to 823.29, 1,233.55 and 791.28 is: 1,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.29 : 1,233.55 = 791.28 : x
  2. Step 2: Convert to fraction form
    823.29/1,233.55 = 791.28/x
  3. Step 3: Cross multiply
    823.29x = 1,233.55 × 791.28
  4. Step 4: Simplify right side
    823.29x = 976,079.48
  5. Step 5: Solve for x
    x = 976,079.48/823.29
  6. Step 6: Final answer
    x = 1,185.59

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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.