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Finding the Fourth Proportional to 800.38, 1,198.98 and 732.70

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Solution

The fourth proportional to 800.38, 1,198.98 and 732.70 is: 1,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.38 : 1,198.98 = 732.70 : x
  2. Step 2: Convert to fraction form
    800.38/1,198.98 = 732.70/x
  3. Step 3: Cross multiply
    800.38x = 1,198.98 × 732.70
  4. Step 4: Simplify right side
    800.38x = 878,492.65
  5. Step 5: Solve for x
    x = 878,492.65/800.38
  6. Step 6: Final answer
    x = 1,097.59

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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.