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Finding the Fourth Proportional to 774.47, 1,161.93 and 363.84

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Solution

The fourth proportional to 774.47, 1,161.93 and 363.84 is: 545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.47 : 1,161.93 = 363.84 : x
  2. Step 2: Convert to fraction form
    774.47/1,161.93 = 363.84/x
  3. Step 3: Cross multiply
    774.47x = 1,161.93 × 363.84
  4. Step 4: Simplify right side
    774.47x = 422,756.61
  5. Step 5: Solve for x
    x = 422,756.61/774.47
  6. Step 6: Final answer
    x = 545.87

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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.