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Finding the Fourth Proportional to 824.13, 1,233.11 and 514.53

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Solution

The fourth proportional to 824.13, 1,233.11 and 514.53 is: 769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.13 : 1,233.11 = 514.53 : x
  2. Step 2: Convert to fraction form
    824.13/1,233.11 = 514.53/x
  3. Step 3: Cross multiply
    824.13x = 1,233.11 × 514.53
  4. Step 4: Simplify right side
    824.13x = 634,472.09
  5. Step 5: Solve for x
    x = 634,472.09/824.13
  6. Step 6: Final answer
    x = 769.87

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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.