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Finding the Fourth Proportional to 798.84, 1,198.16 and 311.48

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Solution

The fourth proportional to 798.84, 1,198.16 and 311.48 is: 467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.84 : 1,198.16 = 311.48 : x
  2. Step 2: Convert to fraction form
    798.84/1,198.16 = 311.48/x
  3. Step 3: Cross multiply
    798.84x = 1,198.16 × 311.48
  4. Step 4: Simplify right side
    798.84x = 373,202.88
  5. Step 5: Solve for x
    x = 373,202.88/798.84
  6. Step 6: Final answer
    x = 467.18

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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.