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Finding the Fourth Proportional to 1,190.69, 1,642.32 and 1,168.82

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Solution

The fourth proportional to 1,190.69, 1,642.32 and 1,168.82 is: 1,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.69 : 1,642.32 = 1,168.82 : x
  2. Step 2: Convert to fraction form
    1,190.69/1,642.32 = 1,168.82/x
  3. Step 3: Cross multiply
    1,190.69x = 1,642.32 × 1,168.82
  4. Step 4: Simplify right side
    1,190.69x = 1,919,568.25
  5. Step 5: Solve for x
    x = 1,919,568.25/1,190.69
  6. Step 6: Final answer
    x = 1,612.15

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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.