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Finding the Fourth Proportional to 980.26, 1,342.96 and 943.34

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Solution

The fourth proportional to 980.26, 1,342.96 and 943.34 is: 1,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.26 : 1,342.96 = 943.34 : x
  2. Step 2: Convert to fraction form
    980.26/1,342.96 = 943.34/x
  3. Step 3: Cross multiply
    980.26x = 1,342.96 × 943.34
  4. Step 4: Simplify right side
    980.26x = 1,266,858.81
  5. Step 5: Solve for x
    x = 1,266,858.81/980.26
  6. Step 6: Final answer
    x = 1,292.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.