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Finding the Fourth Proportional to 867.78, 1,198.08 and 680.94

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Solution

The fourth proportional to 867.78, 1,198.08 and 680.94 is: 940.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.78 : 1,198.08 = 680.94 : x
  2. Step 2: Convert to fraction form
    867.78/1,198.08 = 680.94/x
  3. Step 3: Cross multiply
    867.78x = 1,198.08 × 680.94
  4. Step 4: Simplify right side
    867.78x = 815,820.60
  5. Step 5: Solve for x
    x = 815,820.60/867.78
  6. Step 6: Final answer
    x = 940.12

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