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Finding the Fourth Proportional to 1,194.46, 1,647.26 and 774.37

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Solution

The fourth proportional to 1,194.46, 1,647.26 and 774.37 is: 1,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.46 : 1,647.26 = 774.37 : x
  2. Step 2: Convert to fraction form
    1,194.46/1,647.26 = 774.37/x
  3. Step 3: Cross multiply
    1,194.46x = 1,647.26 × 774.37
  4. Step 4: Simplify right side
    1,194.46x = 1,275,580.74
  5. Step 5: Solve for x
    x = 1,275,580.74/1,194.46
  6. Step 6: Final answer
    x = 1,067.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.