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Finding the Fourth Proportional to 937.87, 1,295.67 and 799.44

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Solution

The fourth proportional to 937.87, 1,295.67 and 799.44 is: 1,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.87 : 1,295.67 = 799.44 : x
  2. Step 2: Convert to fraction form
    937.87/1,295.67 = 799.44/x
  3. Step 3: Cross multiply
    937.87x = 1,295.67 × 799.44
  4. Step 4: Simplify right side
    937.87x = 1,035,810.42
  5. Step 5: Solve for x
    x = 1,035,810.42/937.87
  6. Step 6: Final answer
    x = 1,104.43

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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.