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Finding the Fourth Proportional to 824.50, 1,233.66 and 514.90

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Solution

The fourth proportional to 824.50, 1,233.66 and 514.90 is: 770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.50 : 1,233.66 = 514.90 : x
  2. Step 2: Convert to fraction form
    824.50/1,233.66 = 514.90/x
  3. Step 3: Cross multiply
    824.50x = 1,233.66 × 514.90
  4. Step 4: Simplify right side
    824.50x = 635,211.53
  5. Step 5: Solve for x
    x = 635,211.53/824.50
  6. Step 6: Final answer
    x = 770.42

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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.