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Finding the Fourth Proportional to 868.11, 1,291.02 and 840.77

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Solution

The fourth proportional to 868.11, 1,291.02 and 840.77 is: 1,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.11 : 1,291.02 = 840.77 : x
  2. Step 2: Convert to fraction form
    868.11/1,291.02 = 840.77/x
  3. Step 3: Cross multiply
    868.11x = 1,291.02 × 840.77
  4. Step 4: Simplify right side
    868.11x = 1,085,446.68
  5. Step 5: Solve for x
    x = 1,085,446.68/868.11
  6. Step 6: Final answer
    x = 1,250.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.