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Finding the Fourth Proportional to 799.01, 1,198.10 and 311.93

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Solution

The fourth proportional to 799.01, 1,198.10 and 311.93 is: 467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.01 : 1,198.10 = 311.93 : x
  2. Step 2: Convert to fraction form
    799.01/1,198.10 = 311.93/x
  3. Step 3: Cross multiply
    799.01x = 1,198.10 × 311.93
  4. Step 4: Simplify right side
    799.01x = 373,718.12
  5. Step 5: Solve for x
    x = 373,718.12/799.01
  6. Step 6: Final answer
    x = 467.73

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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.