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Finding the Fourth Proportional to 980, 1,350.84 and 743.18

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Solution

The fourth proportional to 980, 1,350.84 and 743.18 is: 1,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    980 : 1,350.84 = 743.18 : x
  2. Step 2: Convert to fraction form
    980/1,350.84 = 743.18/x
  3. Step 3: Cross multiply
    980x = 1,350.84 × 743.18
  4. Step 4: Simplify right side
    980x = 1,003,917.27
  5. Step 5: Solve for x
    x = 1,003,917.27/980
  6. Step 6: Final answer
    x = 1,024.41

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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.