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Finding the Fourth Proportional to 773.82, 1,161.19 and 341.02

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Solution

The fourth proportional to 773.82, 1,161.19 and 341.02 is: 511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.82 : 1,161.19 = 341.02 : x
  2. Step 2: Convert to fraction form
    773.82/1,161.19 = 341.02/x
  3. Step 3: Cross multiply
    773.82x = 1,161.19 × 341.02
  4. Step 4: Simplify right side
    773.82x = 395,989.01
  5. Step 5: Solve for x
    x = 395,989.01/773.82
  6. Step 6: Final answer
    x = 511.73

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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.