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Finding the Fourth Proportional to 906.27, 1,255.73 and 886.83

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Solution

The fourth proportional to 906.27, 1,255.73 and 886.83 is: 1,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.27 : 1,255.73 = 886.83 : x
  2. Step 2: Convert to fraction form
    906.27/1,255.73 = 886.83/x
  3. Step 3: Cross multiply
    906.27x = 1,255.73 × 886.83
  4. Step 4: Simplify right side
    906.27x = 1,113,614.60
  5. Step 5: Solve for x
    x = 1,113,614.60/906.27
  6. Step 6: Final answer
    x = 1,228.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.