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Finding the Fourth Proportional to 819.26, 1,228.74 and 513

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Solution

The fourth proportional to 819.26, 1,228.74 and 513 is: 769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.26 : 1,228.74 = 513 : x
  2. Step 2: Convert to fraction form
    819.26/1,228.74 = 513/x
  3. Step 3: Cross multiply
    819.26x = 1,228.74 × 513
  4. Step 4: Simplify right side
    819.26x = 630,343.62
  5. Step 5: Solve for x
    x = 630,343.62/819.26
  6. Step 6: Final answer
    x = 769.41

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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.