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Finding the Fourth Proportional to 798.65, 1,198.17 and 311.84

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Solution

The fourth proportional to 798.65, 1,198.17 and 311.84 is: 467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.65 : 1,198.17 = 311.84 : x
  2. Step 2: Convert to fraction form
    798.65/1,198.17 = 311.84/x
  3. Step 3: Cross multiply
    798.65x = 1,198.17 × 311.84
  4. Step 4: Simplify right side
    798.65x = 373,631.34
  5. Step 5: Solve for x
    x = 373,631.34/798.65
  6. Step 6: Final answer
    x = 467.83

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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.