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Finding the Fourth Proportional to 1,049.25, 1,447.37 and 629.47

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Solution

The fourth proportional to 1,049.25, 1,447.37 and 629.47 is: 868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.25 : 1,447.37 = 629.47 : x
  2. Step 2: Convert to fraction form
    1,049.25/1,447.37 = 629.47/x
  3. Step 3: Cross multiply
    1,049.25x = 1,447.37 × 629.47
  4. Step 4: Simplify right side
    1,049.25x = 911,077.02
  5. Step 5: Solve for x
    x = 911,077.02/1,049.25
  6. Step 6: Final answer
    x = 868.31

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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.