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Finding the Fourth Proportional to 994.79, 1,370.94 and 745.49

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Solution

The fourth proportional to 994.79, 1,370.94 and 745.49 is: 1,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.79 : 1,370.94 = 745.49 : x
  2. Step 2: Convert to fraction form
    994.79/1,370.94 = 745.49/x
  3. Step 3: Cross multiply
    994.79x = 1,370.94 × 745.49
  4. Step 4: Simplify right side
    994.79x = 1,022,022.06
  5. Step 5: Solve for x
    x = 1,022,022.06/994.79
  6. Step 6: Final answer
    x = 1,027.37

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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.