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Finding the Fourth Proportional to 800.67, 1,198.83 and 415.11

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Solution

The fourth proportional to 800.67, 1,198.83 and 415.11 is: 621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.67 : 1,198.83 = 415.11 : x
  2. Step 2: Convert to fraction form
    800.67/1,198.83 = 415.11/x
  3. Step 3: Cross multiply
    800.67x = 1,198.83 × 415.11
  4. Step 4: Simplify right side
    800.67x = 497,646.32
  5. Step 5: Solve for x
    x = 497,646.32/800.67
  6. Step 6: Final answer
    x = 621.54

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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.