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Finding the Fourth Proportional to 799.22, 1,198.83 and 436.31

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Solution

The fourth proportional to 799.22, 1,198.83 and 436.31 is: 654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.22 : 1,198.83 = 436.31 : x
  2. Step 2: Convert to fraction form
    799.22/1,198.83 = 436.31/x
  3. Step 3: Cross multiply
    799.22x = 1,198.83 × 436.31
  4. Step 4: Simplify right side
    799.22x = 523,064.51
  5. Step 5: Solve for x
    x = 523,064.51/799.22
  6. Step 6: Final answer
    x = 654.47

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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.