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Finding the Fourth Proportional to 1,367.06, 1,885.42 and 868.83

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Solution

The fourth proportional to 1,367.06, 1,885.42 and 868.83 is: 1,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.06 : 1,885.42 = 868.83 : x
  2. Step 2: Convert to fraction form
    1,367.06/1,885.42 = 868.83/x
  3. Step 3: Cross multiply
    1,367.06x = 1,885.42 × 868.83
  4. Step 4: Simplify right side
    1,367.06x = 1,638,109.19
  5. Step 5: Solve for x
    x = 1,638,109.19/1,367.06
  6. Step 6: Final answer
    x = 1,198.27

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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.