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Finding the Fourth Proportional to 801.11, 1,201.67 and 338.77

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Solution

The fourth proportional to 801.11, 1,201.67 and 338.77 is: 508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.11 : 1,201.67 = 338.77 : x
  2. Step 2: Convert to fraction form
    801.11/1,201.67 = 338.77/x
  3. Step 3: Cross multiply
    801.11x = 1,201.67 × 338.77
  4. Step 4: Simplify right side
    801.11x = 407,090.82
  5. Step 5: Solve for x
    x = 407,090.82/801.11
  6. Step 6: Final answer
    x = 508.16

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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.