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Finding the Fourth Proportional to 1,142.33, 1,716.71 and 680.19

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Solution

The fourth proportional to 1,142.33, 1,716.71 and 680.19 is: 1,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.33 : 1,716.71 = 680.19 : x
  2. Step 2: Convert to fraction form
    1,142.33/1,716.71 = 680.19/x
  3. Step 3: Cross multiply
    1,142.33x = 1,716.71 × 680.19
  4. Step 4: Simplify right side
    1,142.33x = 1,167,685.57
  5. Step 5: Solve for x
    x = 1,167,685.57/1,142.33
  6. Step 6: Final answer
    x = 1,022.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.