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Finding the Fourth Proportional to 774.20, 1,161.06 and 311.90

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Solution

The fourth proportional to 774.20, 1,161.06 and 311.90 is: 467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.20 : 1,161.06 = 311.90 : x
  2. Step 2: Convert to fraction form
    774.20/1,161.06 = 311.90/x
  3. Step 3: Cross multiply
    774.20x = 1,161.06 × 311.90
  4. Step 4: Simplify right side
    774.20x = 362,134.61
  5. Step 5: Solve for x
    x = 362,134.61/774.20
  6. Step 6: Final answer
    x = 467.75

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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.