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Finding the Fourth Proportional to 910.58, 1,367.24 and 727.43

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Solution

The fourth proportional to 910.58, 1,367.24 and 727.43 is: 1,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.58 : 1,367.24 = 727.43 : x
  2. Step 2: Convert to fraction form
    910.58/1,367.24 = 727.43/x
  3. Step 3: Cross multiply
    910.58x = 1,367.24 × 727.43
  4. Step 4: Simplify right side
    910.58x = 994,560.92
  5. Step 5: Solve for x
    x = 994,560.92/910.58
  6. Step 6: Final answer
    x = 1,092.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.