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Finding the Fourth Proportional to 1,022.56, 1,410.80 and 629.44

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Solution

The fourth proportional to 1,022.56, 1,410.80 and 629.44 is: 868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.56 : 1,410.80 = 629.44 : x
  2. Step 2: Convert to fraction form
    1,022.56/1,410.80 = 629.44/x
  3. Step 3: Cross multiply
    1,022.56x = 1,410.80 × 629.44
  4. Step 4: Simplify right side
    1,022.56x = 888,013.95
  5. Step 5: Solve for x
    x = 888,013.95/1,022.56
  6. Step 6: Final answer
    x = 868.42

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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.