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Finding the Fourth Proportional to 793.15, 1,189.74 and 273.16

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Solution

The fourth proportional to 793.15, 1,189.74 and 273.16 is: 409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.15 : 1,189.74 = 273.16 : x
  2. Step 2: Convert to fraction form
    793.15/1,189.74 = 273.16/x
  3. Step 3: Cross multiply
    793.15x = 1,189.74 × 273.16
  4. Step 4: Simplify right side
    793.15x = 324,989.38
  5. Step 5: Solve for x
    x = 324,989.38/793.15
  6. Step 6: Final answer
    x = 409.75

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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.