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Finding the Fourth Proportional to 1,161.97, 1,743.55 and 772.24

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Solution

The fourth proportional to 1,161.97, 1,743.55 and 772.24 is: 1,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.97 : 1,743.55 = 772.24 : x
  2. Step 2: Convert to fraction form
    1,161.97/1,743.55 = 772.24/x
  3. Step 3: Cross multiply
    1,161.97x = 1,743.55 × 772.24
  4. Step 4: Simplify right side
    1,161.97x = 1,346,439.05
  5. Step 5: Solve for x
    x = 1,346,439.05/1,161.97
  6. Step 6: Final answer
    x = 1,158.76

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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.