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Finding the Fourth Proportional to 774.34, 1,161.33 and 226.54

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Solution

The fourth proportional to 774.34, 1,161.33 and 226.54 is: 339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.34 : 1,161.33 = 226.54 : x
  2. Step 2: Convert to fraction form
    774.34/1,161.33 = 226.54/x
  3. Step 3: Cross multiply
    774.34x = 1,161.33 × 226.54
  4. Step 4: Simplify right side
    774.34x = 263,087.70
  5. Step 5: Solve for x
    x = 263,087.70/774.34
  6. Step 6: Final answer
    x = 339.76

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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.