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Finding the Fourth Proportional to 822.92, 1,235.40 and 819.17

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Solution

The fourth proportional to 822.92, 1,235.40 and 819.17 is: 1,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.92 : 1,235.40 = 819.17 : x
  2. Step 2: Convert to fraction form
    822.92/1,235.40 = 819.17/x
  3. Step 3: Cross multiply
    822.92x = 1,235.40 × 819.17
  4. Step 4: Simplify right side
    822.92x = 1,012,002.62
  5. Step 5: Solve for x
    x = 1,012,002.62/822.92
  6. Step 6: Final answer
    x = 1,229.77

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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.