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Finding the Fourth Proportional to 774.59, 1,161.89 and 226.76

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Solution

The fourth proportional to 774.59, 1,161.89 and 226.76 is: 340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.59 : 1,161.89 = 226.76 : x
  2. Step 2: Convert to fraction form
    774.59/1,161.89 = 226.76/x
  3. Step 3: Cross multiply
    774.59x = 1,161.89 × 226.76
  4. Step 4: Simplify right side
    774.59x = 263,463.23
  5. Step 5: Solve for x
    x = 263,463.23/774.59
  6. Step 6: Final answer
    x = 340.13

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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.