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Finding the Fourth Proportional to 774.20, 1,161.52 and 226.44

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Solution

The fourth proportional to 774.20, 1,161.52 and 226.44 is: 339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.20 : 1,161.52 = 226.44 : x
  2. Step 2: Convert to fraction form
    774.20/1,161.52 = 226.44/x
  3. Step 3: Cross multiply
    774.20x = 1,161.52 × 226.44
  4. Step 4: Simplify right side
    774.20x = 263,014.59
  5. Step 5: Solve for x
    x = 263,014.59/774.20
  6. Step 6: Final answer
    x = 339.72

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1.5x scale

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.