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Finding the Fourth Proportional to 800.47, 1,198.41 and 723.59

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Solution

The fourth proportional to 800.47, 1,198.41 and 723.59 is: 1,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.47 : 1,198.41 = 723.59 : x
  2. Step 2: Convert to fraction form
    800.47/1,198.41 = 723.59/x
  3. Step 3: Cross multiply
    800.47x = 1,198.41 × 723.59
  4. Step 4: Simplify right side
    800.47x = 867,157.49
  5. Step 5: Solve for x
    x = 867,157.49/800.47
  6. Step 6: Final answer
    x = 1,083.31

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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.