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Finding the Fourth Proportional to 906.28, 1,352.84 and 796.93

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Solution

The fourth proportional to 906.28, 1,352.84 and 796.93 is: 1,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.28 : 1,352.84 = 796.93 : x
  2. Step 2: Convert to fraction form
    906.28/1,352.84 = 796.93/x
  3. Step 3: Cross multiply
    906.28x = 1,352.84 × 796.93
  4. Step 4: Simplify right side
    906.28x = 1,078,118.78
  5. Step 5: Solve for x
    x = 1,078,118.78/906.28
  6. Step 6: Final answer
    x = 1,189.61

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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.