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Finding the Fourth Proportional to 1,429.38, 1,972.51 and 799.97

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Solution

The fourth proportional to 1,429.38, 1,972.51 and 799.97 is: 1,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.38 : 1,972.51 = 799.97 : x
  2. Step 2: Convert to fraction form
    1,429.38/1,972.51 = 799.97/x
  3. Step 3: Cross multiply
    1,429.38x = 1,972.51 × 799.97
  4. Step 4: Simplify right side
    1,429.38x = 1,577,944.36
  5. Step 5: Solve for x
    x = 1,577,944.36/1,429.38
  6. Step 6: Final answer
    x = 1,103.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.