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Finding the Fourth Proportional to 774.58, 1,161.66 and 226.62

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Solution

The fourth proportional to 774.58, 1,161.66 and 226.62 is: 339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.58 : 1,161.66 = 226.62 : x
  2. Step 2: Convert to fraction form
    774.58/1,161.66 = 226.62/x
  3. Step 3: Cross multiply
    774.58x = 1,161.66 × 226.62
  4. Step 4: Simplify right side
    774.58x = 263,255.39
  5. Step 5: Solve for x
    x = 263,255.39/774.58
  6. Step 6: Final answer
    x = 339.87

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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.