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Finding the Fourth Proportional to 823.28, 1,233.25 and 411.80

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Solution

The fourth proportional to 823.28, 1,233.25 and 411.80 is: 616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.28 : 1,233.25 = 411.80 : x
  2. Step 2: Convert to fraction form
    823.28/1,233.25 = 411.80/x
  3. Step 3: Cross multiply
    823.28x = 1,233.25 × 411.80
  4. Step 4: Simplify right side
    823.28x = 507,845.15
  5. Step 5: Solve for x
    x = 507,845.15/823.28
  6. Step 6: Final answer
    x = 616.86

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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.