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Finding the Fourth Proportional to 823.28, 1,233.96 and 814.16

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Solution

The fourth proportional to 823.28, 1,233.96 and 814.16 is: 1,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.28 : 1,233.96 = 814.16 : x
  2. Step 2: Convert to fraction form
    823.28/1,233.96 = 814.16/x
  3. Step 3: Cross multiply
    823.28x = 1,233.96 × 814.16
  4. Step 4: Simplify right side
    823.28x = 1,004,640.87
  5. Step 5: Solve for x
    x = 1,004,640.87/823.28
  6. Step 6: Final answer
    x = 1,220.29

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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.