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Finding the Fourth Proportional to 905.23, 1,244.42 and 778.73

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Solution

The fourth proportional to 905.23, 1,244.42 and 778.73 is: 1,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.23 : 1,244.42 = 778.73 : x
  2. Step 2: Convert to fraction form
    905.23/1,244.42 = 778.73/x
  3. Step 3: Cross multiply
    905.23x = 1,244.42 × 778.73
  4. Step 4: Simplify right side
    905.23x = 969,067.19
  5. Step 5: Solve for x
    x = 969,067.19/905.23
  6. Step 6: Final answer
    x = 1,070.52

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.