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Finding the Fourth Proportional to 793.27, 1,189.47 and 245.30

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Solution

The fourth proportional to 793.27, 1,189.47 and 245.30 is: 367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.27 : 1,189.47 = 245.30 : x
  2. Step 2: Convert to fraction form
    793.27/1,189.47 = 245.30/x
  3. Step 3: Cross multiply
    793.27x = 1,189.47 × 245.30
  4. Step 4: Simplify right side
    793.27x = 291,776.99
  5. Step 5: Solve for x
    x = 291,776.99/793.27
  6. Step 6: Final answer
    x = 367.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.