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Finding the Fourth Proportional to 773.93, 1,161.10 and 226.17

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Solution

The fourth proportional to 773.93, 1,161.10 and 226.17 is: 339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.93 : 1,161.10 = 226.17 : x
  2. Step 2: Convert to fraction form
    773.93/1,161.10 = 226.17/x
  3. Step 3: Cross multiply
    773.93x = 1,161.10 × 226.17
  4. Step 4: Simplify right side
    773.93x = 262,605.99
  5. Step 5: Solve for x
    x = 262,605.99/773.93
  6. Step 6: Final answer
    x = 339.31

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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.