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Finding the Fourth Proportional to 799.24, 1,198.13 and 286.12

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Solution

The fourth proportional to 799.24, 1,198.13 and 286.12 is: 428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.24 : 1,198.13 = 286.12 : x
  2. Step 2: Convert to fraction form
    799.24/1,198.13 = 286.12/x
  3. Step 3: Cross multiply
    799.24x = 1,198.13 × 286.12
  4. Step 4: Simplify right side
    799.24x = 342,808.96
  5. Step 5: Solve for x
    x = 342,808.96/799.24
  6. Step 6: Final answer
    x = 428.92

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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.