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Finding the Fourth Proportional to 774.16, 1,161.24 and 363.59

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Solution

The fourth proportional to 774.16, 1,161.24 and 363.59 is: 545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.16 : 1,161.24 = 363.59 : x
  2. Step 2: Convert to fraction form
    774.16/1,161.24 = 363.59/x
  3. Step 3: Cross multiply
    774.16x = 1,161.24 × 363.59
  4. Step 4: Simplify right side
    774.16x = 422,209.45
  5. Step 5: Solve for x
    x = 422,209.45/774.16
  6. Step 6: Final answer
    x = 545.38

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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.