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Finding the Fourth Proportional to 1,161.19, 1,602.20 and 939.75

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Solution

The fourth proportional to 1,161.19, 1,602.20 and 939.75 is: 1,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.19 : 1,602.20 = 939.75 : x
  2. Step 2: Convert to fraction form
    1,161.19/1,602.20 = 939.75/x
  3. Step 3: Cross multiply
    1,161.19x = 1,602.20 × 939.75
  4. Step 4: Simplify right side
    1,161.19x = 1,505,667.45
  5. Step 5: Solve for x
    x = 1,505,667.45/1,161.19
  6. Step 6: Final answer
    x = 1,296.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.