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Finding the Fourth Proportional to 819.90, 1,230.63 and 639.27

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Solution

The fourth proportional to 819.90, 1,230.63 and 639.27 is: 959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.90 : 1,230.63 = 639.27 : x
  2. Step 2: Convert to fraction form
    819.90/1,230.63 = 639.27/x
  3. Step 3: Cross multiply
    819.90x = 1,230.63 × 639.27
  4. Step 4: Simplify right side
    819.90x = 786,704.84
  5. Step 5: Solve for x
    x = 786,704.84/819.90
  6. Step 6: Final answer
    x = 959.51

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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.