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Finding the Fourth Proportional to 762.39, 1,143.18 and 299.97

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Solution

The fourth proportional to 762.39, 1,143.18 and 299.97 is: 449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.39 : 1,143.18 = 299.97 : x
  2. Step 2: Convert to fraction form
    762.39/1,143.18 = 299.97/x
  3. Step 3: Cross multiply
    762.39x = 1,143.18 × 299.97
  4. Step 4: Simplify right side
    762.39x = 342,919.70
  5. Step 5: Solve for x
    x = 342,919.70/762.39
  6. Step 6: Final answer
    x = 449.80

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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.