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Finding the Fourth Proportional to 1,049.34, 1,447.83 and 629.58

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Solution

The fourth proportional to 1,049.34, 1,447.83 and 629.58 is: 868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.34 : 1,447.83 = 629.58 : x
  2. Step 2: Convert to fraction form
    1,049.34/1,447.83 = 629.58/x
  3. Step 3: Cross multiply
    1,049.34x = 1,447.83 × 629.58
  4. Step 4: Simplify right side
    1,049.34x = 911,524.81
  5. Step 5: Solve for x
    x = 911,524.81/1,049.34
  6. Step 6: Final answer
    x = 868.66

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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.