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Finding the Fourth Proportional to 774.14, 1,161.15 and 363.57

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Solution

The fourth proportional to 774.14, 1,161.15 and 363.57 is: 545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.14 : 1,161.15 = 363.57 : x
  2. Step 2: Convert to fraction form
    774.14/1,161.15 = 363.57/x
  3. Step 3: Cross multiply
    774.14x = 1,161.15 × 363.57
  4. Step 4: Simplify right side
    774.14x = 422,159.31
  5. Step 5: Solve for x
    x = 422,159.31/774.14
  6. Step 6: Final answer
    x = 545.33

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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.