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Finding the Fourth Proportional to 819.86, 1,222.44 and 805.28

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Solution

The fourth proportional to 819.86, 1,222.44 and 805.28 is: 1,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.86 : 1,222.44 = 805.28 : x
  2. Step 2: Convert to fraction form
    819.86/1,222.44 = 805.28/x
  3. Step 3: Cross multiply
    819.86x = 1,222.44 × 805.28
  4. Step 4: Simplify right side
    819.86x = 984,406.48
  5. Step 5: Solve for x
    x = 984,406.48/819.86
  6. Step 6: Final answer
    x = 1,200.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.