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Finding the Fourth Proportional to 774.10, 1,161.57 and 363.43

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Solution

The fourth proportional to 774.10, 1,161.57 and 363.43 is: 545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.10 : 1,161.57 = 363.43 : x
  2. Step 2: Convert to fraction form
    774.10/1,161.57 = 363.43/x
  3. Step 3: Cross multiply
    774.10x = 1,161.57 × 363.43
  4. Step 4: Simplify right side
    774.10x = 422,149.39
  5. Step 5: Solve for x
    x = 422,149.39/774.10
  6. Step 6: Final answer
    x = 545.34

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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.