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Finding the Fourth Proportional to 774.39, 1,160.77 and 363.20

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Solution

The fourth proportional to 774.39, 1,160.77 and 363.20 is: 544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.39 : 1,160.77 = 363.20 : x
  2. Step 2: Convert to fraction form
    774.39/1,160.77 = 363.20/x
  3. Step 3: Cross multiply
    774.39x = 1,160.77 × 363.20
  4. Step 4: Simplify right side
    774.39x = 421,591.66
  5. Step 5: Solve for x
    x = 421,591.66/774.39
  6. Step 6: Final answer
    x = 544.42

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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.