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Finding the Fourth Proportional to 916.09, 1,371.76 and 839.97

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Solution

The fourth proportional to 916.09, 1,371.76 and 839.97 is: 1,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.09 : 1,371.76 = 839.97 : x
  2. Step 2: Convert to fraction form
    916.09/1,371.76 = 839.97/x
  3. Step 3: Cross multiply
    916.09x = 1,371.76 × 839.97
  4. Step 4: Simplify right side
    916.09x = 1,152,235.15
  5. Step 5: Solve for x
    x = 1,152,235.15/916.09
  6. Step 6: Final answer
    x = 1,257.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.