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Finding the Fourth Proportional to 820.26, 1,229.76 and 495.54

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Solution

The fourth proportional to 820.26, 1,229.76 and 495.54 is: 742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.26 : 1,229.76 = 495.54 : x
  2. Step 2: Convert to fraction form
    820.26/1,229.76 = 495.54/x
  3. Step 3: Cross multiply
    820.26x = 1,229.76 × 495.54
  4. Step 4: Simplify right side
    820.26x = 609,395.27
  5. Step 5: Solve for x
    x = 609,395.27/820.26
  6. Step 6: Final answer
    x = 742.93

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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.