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Finding the Fourth Proportional to 1,224.38, 1,836.56 and 299.94

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Solution

The fourth proportional to 1,224.38, 1,836.56 and 299.94 is: 449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.38 : 1,836.56 = 299.94 : x
  2. Step 2: Convert to fraction form
    1,224.38/1,836.56 = 299.94/x
  3. Step 3: Cross multiply
    1,224.38x = 1,836.56 × 299.94
  4. Step 4: Simplify right side
    1,224.38x = 550,851.67
  5. Step 5: Solve for x
    x = 550,851.67/1,224.38
  6. Step 6: Final answer
    x = 449.90

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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.