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Finding the Fourth Proportional to 820.16, 1,229.28 and 512.09

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Solution

The fourth proportional to 820.16, 1,229.28 and 512.09 is: 767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.16 : 1,229.28 = 512.09 : x
  2. Step 2: Convert to fraction form
    820.16/1,229.28 = 512.09/x
  3. Step 3: Cross multiply
    820.16x = 1,229.28 × 512.09
  4. Step 4: Simplify right side
    820.16x = 629,495.85
  5. Step 5: Solve for x
    x = 629,495.85/820.16
  6. Step 6: Final answer
    x = 767.53

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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.