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Finding the Fourth Proportional to 800.66, 1,201.05 and 252.87

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Solution

The fourth proportional to 800.66, 1,201.05 and 252.87 is: 379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.66 : 1,201.05 = 252.87 : x
  2. Step 2: Convert to fraction form
    800.66/1,201.05 = 252.87/x
  3. Step 3: Cross multiply
    800.66x = 1,201.05 × 252.87
  4. Step 4: Simplify right side
    800.66x = 303,709.51
  5. Step 5: Solve for x
    x = 303,709.51/800.66
  6. Step 6: Final answer
    x = 379.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.