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Finding the Fourth Proportional to 1,049.18, 1,447.83 and 656.42

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Solution

The fourth proportional to 1,049.18, 1,447.83 and 656.42 is: 905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.18 : 1,447.83 = 656.42 : x
  2. Step 2: Convert to fraction form
    1,049.18/1,447.83 = 656.42/x
  3. Step 3: Cross multiply
    1,049.18x = 1,447.83 × 656.42
  4. Step 4: Simplify right side
    1,049.18x = 950,377.33
  5. Step 5: Solve for x
    x = 950,377.33/1,049.18
  6. Step 6: Final answer
    x = 905.83

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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.