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Finding the Fourth Proportional to 1,212.76, 1,662.69 and 1,190.88

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Solution

The fourth proportional to 1,212.76, 1,662.69 and 1,190.88 is: 1,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.76 : 1,662.69 = 1,190.88 : x
  2. Step 2: Convert to fraction form
    1,212.76/1,662.69 = 1,190.88/x
  3. Step 3: Cross multiply
    1,212.76x = 1,662.69 × 1,190.88
  4. Step 4: Simplify right side
    1,212.76x = 1,980,064.27
  5. Step 5: Solve for x
    x = 1,980,064.27/1,212.76
  6. Step 6: Final answer
    x = 1,632.69

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