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Finding the Fourth Proportional to 1,190.32, 1,791.94 and 1,071.25

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Solution

The fourth proportional to 1,190.32, 1,791.94 and 1,071.25 is: 1,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.32 : 1,791.94 = 1,071.25 : x
  2. Step 2: Convert to fraction form
    1,190.32/1,791.94 = 1,071.25/x
  3. Step 3: Cross multiply
    1,190.32x = 1,791.94 × 1,071.25
  4. Step 4: Simplify right side
    1,190.32x = 1,919,615.73
  5. Step 5: Solve for x
    x = 1,919,615.73/1,190.32
  6. Step 6: Final answer
    x = 1,612.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.