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Finding the Fourth Proportional to 793.14, 1,189.64 and 273.44

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Solution

The fourth proportional to 793.14, 1,189.64 and 273.44 is: 410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.14 : 1,189.64 = 273.44 : x
  2. Step 2: Convert to fraction form
    793.14/1,189.64 = 273.44/x
  3. Step 3: Cross multiply
    793.14x = 1,189.64 × 273.44
  4. Step 4: Simplify right side
    793.14x = 325,295.16
  5. Step 5: Solve for x
    x = 325,295.16/793.14
  6. Step 6: Final answer
    x = 410.14

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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.