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Finding the Fourth Proportional to 1,049.39, 1,447.76 and 676.34

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Solution

The fourth proportional to 1,049.39, 1,447.76 and 676.34 is: 933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.39 : 1,447.76 = 676.34 : x
  2. Step 2: Convert to fraction form
    1,049.39/1,447.76 = 676.34/x
  3. Step 3: Cross multiply
    1,049.39x = 1,447.76 × 676.34
  4. Step 4: Simplify right side
    1,049.39x = 979,174.62
  5. Step 5: Solve for x
    x = 979,174.62/1,049.39
  6. Step 6: Final answer
    x = 933.09

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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.