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Finding the Fourth Proportional to 774.33, 1,161.68 and 226.53

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Solution

The fourth proportional to 774.33, 1,161.68 and 226.53 is: 339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.33 : 1,161.68 = 226.53 : x
  2. Step 2: Convert to fraction form
    774.33/1,161.68 = 226.53/x
  3. Step 3: Cross multiply
    774.33x = 1,161.68 × 226.53
  4. Step 4: Simplify right side
    774.33x = 263,155.37
  5. Step 5: Solve for x
    x = 263,155.37/774.33
  6. Step 6: Final answer
    x = 339.85

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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.