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Finding the Fourth Proportional to 774.27, 1,161.62 and 341.73

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Solution

The fourth proportional to 774.27, 1,161.62 and 341.73 is: 512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.27 : 1,161.62 = 341.73 : x
  2. Step 2: Convert to fraction form
    774.27/1,161.62 = 341.73/x
  3. Step 3: Cross multiply
    774.27x = 1,161.62 × 341.73
  4. Step 4: Simplify right side
    774.27x = 396,958.69
  5. Step 5: Solve for x
    x = 396,958.69/774.27
  6. Step 6: Final answer
    x = 512.69

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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.