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Finding the Fourth Proportional to 793.14, 1,189.89 and 299.76

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Solution

The fourth proportional to 793.14, 1,189.89 and 299.76 is: 449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.14 : 1,189.89 = 299.76 : x
  2. Step 2: Convert to fraction form
    793.14/1,189.89 = 299.76/x
  3. Step 3: Cross multiply
    793.14x = 1,189.89 × 299.76
  4. Step 4: Simplify right side
    793.14x = 356,681.43
  5. Step 5: Solve for x
    x = 356,681.43/793.14
  6. Step 6: Final answer
    x = 449.71

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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.