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Finding the Fourth Proportional to 996.20, 1,492.96 and 823.96

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Solution

The fourth proportional to 996.20, 1,492.96 and 823.96 is: 1,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.20 : 1,492.96 = 823.96 : x
  2. Step 2: Convert to fraction form
    996.20/1,492.96 = 823.96/x
  3. Step 3: Cross multiply
    996.20x = 1,492.96 × 823.96
  4. Step 4: Simplify right side
    996.20x = 1,230,139.32
  5. Step 5: Solve for x
    x = 1,230,139.32/996.20
  6. Step 6: Final answer
    x = 1,234.83

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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.