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Finding the Fourth Proportional to 793.07, 1,189.75 and 273.13

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Solution

The fourth proportional to 793.07, 1,189.75 and 273.13 is: 409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.07 : 1,189.75 = 273.13 : x
  2. Step 2: Convert to fraction form
    793.07/1,189.75 = 273.13/x
  3. Step 3: Cross multiply
    793.07x = 1,189.75 × 273.13
  4. Step 4: Simplify right side
    793.07x = 324,952.08
  5. Step 5: Solve for x
    x = 324,952.08/793.07
  6. Step 6: Final answer
    x = 409.74

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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.