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Finding the Fourth Proportional to 1,221.78, 1,685.01 and 868.82

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Solution

The fourth proportional to 1,221.78, 1,685.01 and 868.82 is: 1,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.78 : 1,685.01 = 868.82 : x
  2. Step 2: Convert to fraction form
    1,221.78/1,685.01 = 868.82/x
  3. Step 3: Cross multiply
    1,221.78x = 1,685.01 × 868.82
  4. Step 4: Simplify right side
    1,221.78x = 1,463,970.39
  5. Step 5: Solve for x
    x = 1,463,970.39/1,221.78
  6. Step 6: Final answer
    x = 1,198.23

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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.