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Finding the Fourth Proportional to 820.85, 1,229.45 and 495.54

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Solution

The fourth proportional to 820.85, 1,229.45 and 495.54 is: 742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.85 : 1,229.45 = 495.54 : x
  2. Step 2: Convert to fraction form
    820.85/1,229.45 = 495.54/x
  3. Step 3: Cross multiply
    820.85x = 1,229.45 × 495.54
  4. Step 4: Simplify right side
    820.85x = 609,241.65
  5. Step 5: Solve for x
    x = 609,241.65/820.85
  6. Step 6: Final answer
    x = 742.21

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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.