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Finding the Fourth Proportional to 1,365.82, 1,885.13 and 868.37

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Solution

The fourth proportional to 1,365.82, 1,885.13 and 868.37 is: 1,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.82 : 1,885.13 = 868.37 : x
  2. Step 2: Convert to fraction form
    1,365.82/1,885.13 = 868.37/x
  3. Step 3: Cross multiply
    1,365.82x = 1,885.13 × 868.37
  4. Step 4: Simplify right side
    1,365.82x = 1,636,984.71
  5. Step 5: Solve for x
    x = 1,636,984.71/1,365.82
  6. Step 6: Final answer
    x = 1,198.53

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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.