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Finding the Fourth Proportional to 800.63, 1,201.18 and 581.48

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Solution

The fourth proportional to 800.63, 1,201.18 and 581.48 is: 872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.63 : 1,201.18 = 581.48 : x
  2. Step 2: Convert to fraction form
    800.63/1,201.18 = 581.48/x
  3. Step 3: Cross multiply
    800.63x = 1,201.18 × 581.48
  4. Step 4: Simplify right side
    800.63x = 698,456.14
  5. Step 5: Solve for x
    x = 698,456.14/800.63
  6. Step 6: Final answer
    x = 872.38

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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.