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Finding the Fourth Proportional to 911.49, 1,367.23 and 774.19

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Solution

The fourth proportional to 911.49, 1,367.23 and 774.19 is: 1,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.49 : 1,367.23 = 774.19 : x
  2. Step 2: Convert to fraction form
    911.49/1,367.23 = 774.19/x
  3. Step 3: Cross multiply
    911.49x = 1,367.23 × 774.19
  4. Step 4: Simplify right side
    911.49x = 1,058,495.79
  5. Step 5: Solve for x
    x = 1,058,495.79/911.49
  6. Step 6: Final answer
    x = 1,161.28

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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.