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Finding the Fourth Proportional to 906, 1,350.76 and 850.92

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Solution

The fourth proportional to 906, 1,350.76 and 850.92 is: 1,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    906 : 1,350.76 = 850.92 : x
  2. Step 2: Convert to fraction form
    906/1,350.76 = 850.92/x
  3. Step 3: Cross multiply
    906x = 1,350.76 × 850.92
  4. Step 4: Simplify right side
    906x = 1,149,388.70
  5. Step 5: Solve for x
    x = 1,149,388.70/906
  6. Step 6: Final answer
    x = 1,268.64

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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.