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Finding the Fourth Proportional to 774.03, 1,161.09 and 226.20

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Solution

The fourth proportional to 774.03, 1,161.09 and 226.20 is: 339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.03 : 1,161.09 = 226.20 : x
  2. Step 2: Convert to fraction form
    774.03/1,161.09 = 226.20/x
  3. Step 3: Cross multiply
    774.03x = 1,161.09 × 226.20
  4. Step 4: Simplify right side
    774.03x = 262,638.56
  5. Step 5: Solve for x
    x = 262,638.56/774.03
  6. Step 6: Final answer
    x = 339.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.