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Finding the Fourth Proportional to 800.05, 1,199.03 and 453.54

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Solution

The fourth proportional to 800.05, 1,199.03 and 453.54 is: 679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.05 : 1,199.03 = 453.54 : x
  2. Step 2: Convert to fraction form
    800.05/1,199.03 = 453.54/x
  3. Step 3: Cross multiply
    800.05x = 1,199.03 × 453.54
  4. Step 4: Simplify right side
    800.05x = 543,801.30
  5. Step 5: Solve for x
    x = 543,801.30/800.05
  6. Step 6: Final answer
    x = 679.71

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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.