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Finding the Fourth Proportional to 1,191.71, 1,644.62 and 660.58

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Solution

The fourth proportional to 1,191.71, 1,644.62 and 660.58 is: 911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.71 : 1,644.62 = 660.58 : x
  2. Step 2: Convert to fraction form
    1,191.71/1,644.62 = 660.58/x
  3. Step 3: Cross multiply
    1,191.71x = 1,644.62 × 660.58
  4. Step 4: Simplify right side
    1,191.71x = 1,086,398.97
  5. Step 5: Solve for x
    x = 1,086,398.97/1,191.71
  6. Step 6: Final answer
    x = 911.63

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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.