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Finding the Fourth Proportional to 773.95, 1,161.10 and 226.18

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Solution

The fourth proportional to 773.95, 1,161.10 and 226.18 is: 339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.95 : 1,161.10 = 226.18 : x
  2. Step 2: Convert to fraction form
    773.95/1,161.10 = 226.18/x
  3. Step 3: Cross multiply
    773.95x = 1,161.10 × 226.18
  4. Step 4: Simplify right side
    773.95x = 262,617.60
  5. Step 5: Solve for x
    x = 262,617.60/773.95
  6. Step 6: Final answer
    x = 339.32

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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.