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Finding the Fourth Proportional to 800.21, 1,198.10 and 604.63

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Solution

The fourth proportional to 800.21, 1,198.10 and 604.63 is: 905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.21 : 1,198.10 = 604.63 : x
  2. Step 2: Convert to fraction form
    800.21/1,198.10 = 604.63/x
  3. Step 3: Cross multiply
    800.21x = 1,198.10 × 604.63
  4. Step 4: Simplify right side
    800.21x = 724,410.21
  5. Step 5: Solve for x
    x = 724,410.21/800.21
  6. Step 6: Final answer
    x = 905.27

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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.