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Finding the Fourth Proportional to 1,002.44, 1,504.83 and 799.49

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Solution

The fourth proportional to 1,002.44, 1,504.83 and 799.49 is: 1,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.44 : 1,504.83 = 799.49 : x
  2. Step 2: Convert to fraction form
    1,002.44/1,504.83 = 799.49/x
  3. Step 3: Cross multiply
    1,002.44x = 1,504.83 × 799.49
  4. Step 4: Simplify right side
    1,002.44x = 1,203,096.54
  5. Step 5: Solve for x
    x = 1,203,096.54/1,002.44
  6. Step 6: Final answer
    x = 1,200.17

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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.