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Finding the Fourth Proportional to 905.94, 1,350.97 and 855.92

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Solution

The fourth proportional to 905.94, 1,350.97 and 855.92 is: 1,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.94 : 1,350.97 = 855.92 : x
  2. Step 2: Convert to fraction form
    905.94/1,350.97 = 855.92/x
  3. Step 3: Cross multiply
    905.94x = 1,350.97 × 855.92
  4. Step 4: Simplify right side
    905.94x = 1,156,323.48
  5. Step 5: Solve for x
    x = 1,156,323.48/905.94
  6. Step 6: Final answer
    x = 1,276.38

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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.