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Finding the Fourth Proportional to 823.20, 1,233.80 and 563.20

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Solution

The fourth proportional to 823.20, 1,233.80 and 563.20 is: 844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.20 : 1,233.80 = 563.20 : x
  2. Step 2: Convert to fraction form
    823.20/1,233.80 = 563.20/x
  3. Step 3: Cross multiply
    823.20x = 1,233.80 × 563.20
  4. Step 4: Simplify right side
    823.20x = 694,876.16
  5. Step 5: Solve for x
    x = 694,876.16/823.20
  6. Step 6: Final answer
    x = 844.12

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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.