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Finding the Fourth Proportional to 994.69, 1,372.71 and 745.57

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Solution

The fourth proportional to 994.69, 1,372.71 and 745.57 is: 1,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.69 : 1,372.71 = 745.57 : x
  2. Step 2: Convert to fraction form
    994.69/1,372.71 = 745.57/x
  3. Step 3: Cross multiply
    994.69x = 1,372.71 × 745.57
  4. Step 4: Simplify right side
    994.69x = 1,023,451.39
  5. Step 5: Solve for x
    x = 1,023,451.39/994.69
  6. Step 6: Final answer
    x = 1,028.91

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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.