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Finding the Fourth Proportional to 786.38, 1,179.92 and 299.39

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Solution

The fourth proportional to 786.38, 1,179.92 and 299.39 is: 449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.38 : 1,179.92 = 299.39 : x
  2. Step 2: Convert to fraction form
    786.38/1,179.92 = 299.39/x
  3. Step 3: Cross multiply
    786.38x = 1,179.92 × 299.39
  4. Step 4: Simplify right side
    786.38x = 353,251.10
  5. Step 5: Solve for x
    x = 353,251.10/786.38
  6. Step 6: Final answer
    x = 449.21

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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.