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Finding the Fourth Proportional to 1,429.07, 1,972.08 and 799.56

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Solution

The fourth proportional to 1,429.07, 1,972.08 and 799.56 is: 1,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.07 : 1,972.08 = 799.56 : x
  2. Step 2: Convert to fraction form
    1,429.07/1,972.08 = 799.56/x
  3. Step 3: Cross multiply
    1,429.07x = 1,972.08 × 799.56
  4. Step 4: Simplify right side
    1,429.07x = 1,576,796.28
  5. Step 5: Solve for x
    x = 1,576,796.28/1,429.07
  6. Step 6: Final answer
    x = 1,103.38

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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.