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Finding the Fourth Proportional to 906.82, 1,251.03 and 611.58

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Solution

The fourth proportional to 906.82, 1,251.03 and 611.58 is: 843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.82 : 1,251.03 = 611.58 : x
  2. Step 2: Convert to fraction form
    906.82/1,251.03 = 611.58/x
  3. Step 3: Cross multiply
    906.82x = 1,251.03 × 611.58
  4. Step 4: Simplify right side
    906.82x = 765,104.93
  5. Step 5: Solve for x
    x = 765,104.93/906.82
  6. Step 6: Final answer
    x = 843.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.