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Finding the Fourth Proportional to 793.07, 1,189.73 and 245.21

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Solution

The fourth proportional to 793.07, 1,189.73 and 245.21 is: 367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.07 : 1,189.73 = 245.21 : x
  2. Step 2: Convert to fraction form
    793.07/1,189.73 = 245.21/x
  3. Step 3: Cross multiply
    793.07x = 1,189.73 × 245.21
  4. Step 4: Simplify right side
    793.07x = 291,733.69
  5. Step 5: Solve for x
    x = 291,733.69/793.07
  6. Step 6: Final answer
    x = 367.85

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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.