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Finding the Fourth Proportional to 793.09, 1,189.63 and 245.26

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Solution

The fourth proportional to 793.09, 1,189.63 and 245.26 is: 367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.09 : 1,189.63 = 245.26 : x
  2. Step 2: Convert to fraction form
    793.09/1,189.63 = 245.26/x
  3. Step 3: Cross multiply
    793.09x = 1,189.63 × 245.26
  4. Step 4: Simplify right side
    793.09x = 291,767.04
  5. Step 5: Solve for x
    x = 291,767.04/793.09
  6. Step 6: Final answer
    x = 367.89

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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.