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Finding the Fourth Proportional to 798.92, 1,196.96 and 682.17

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Solution

The fourth proportional to 798.92, 1,196.96 and 682.17 is: 1,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.92 : 1,196.96 = 682.17 : x
  2. Step 2: Convert to fraction form
    798.92/1,196.96 = 682.17/x
  3. Step 3: Cross multiply
    798.92x = 1,196.96 × 682.17
  4. Step 4: Simplify right side
    798.92x = 816,526.79
  5. Step 5: Solve for x
    x = 816,526.79/798.92
  6. Step 6: Final answer
    x = 1,022.04

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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.