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Finding the Fourth Proportional to 774.26, 1,161.56 and 448.96

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Solution

The fourth proportional to 774.26, 1,161.56 and 448.96 is: 673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.26 : 1,161.56 = 448.96 : x
  2. Step 2: Convert to fraction form
    774.26/1,161.56 = 448.96/x
  3. Step 3: Cross multiply
    774.26x = 1,161.56 × 448.96
  4. Step 4: Simplify right side
    774.26x = 521,493.98
  5. Step 5: Solve for x
    x = 521,493.98/774.26
  6. Step 6: Final answer
    x = 673.54

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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.