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Finding the Fourth Proportional to 994.25, 1,372.01 and 758.36

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Solution

The fourth proportional to 994.25, 1,372.01 and 758.36 is: 1,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.25 : 1,372.01 = 758.36 : x
  2. Step 2: Convert to fraction form
    994.25/1,372.01 = 758.36/x
  3. Step 3: Cross multiply
    994.25x = 1,372.01 × 758.36
  4. Step 4: Simplify right side
    994.25x = 1,040,483.54
  5. Step 5: Solve for x
    x = 1,040,483.54/994.25
  6. Step 6: Final answer
    x = 1,046.50

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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.