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Finding the Fourth Proportional to 799.13, 1,197.42 and 311.90

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Solution

The fourth proportional to 799.13, 1,197.42 and 311.90 is: 467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.13 : 1,197.42 = 311.90 : x
  2. Step 2: Convert to fraction form
    799.13/1,197.42 = 311.90/x
  3. Step 3: Cross multiply
    799.13x = 1,197.42 × 311.90
  4. Step 4: Simplify right side
    799.13x = 373,475.30
  5. Step 5: Solve for x
    x = 373,475.30/799.13
  6. Step 6: Final answer
    x = 467.35

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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.