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Finding the Fourth Proportional to 800.63, 1,201.41 and 338.38

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Solution

The fourth proportional to 800.63, 1,201.41 and 338.38 is: 507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.63 : 1,201.41 = 338.38 : x
  2. Step 2: Convert to fraction form
    800.63/1,201.41 = 338.38/x
  3. Step 3: Cross multiply
    800.63x = 1,201.41 × 338.38
  4. Step 4: Simplify right side
    800.63x = 406,530.11
  5. Step 5: Solve for x
    x = 406,530.11/800.63
  6. Step 6: Final answer
    x = 507.77

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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.