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Finding the Fourth Proportional to 843.73, 1,164.11 and 666.72

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Solution

The fourth proportional to 843.73, 1,164.11 and 666.72 is: 919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.73 : 1,164.11 = 666.72 : x
  2. Step 2: Convert to fraction form
    843.73/1,164.11 = 666.72/x
  3. Step 3: Cross multiply
    843.73x = 1,164.11 × 666.72
  4. Step 4: Simplify right side
    843.73x = 776,132.09
  5. Step 5: Solve for x
    x = 776,132.09/843.73
  6. Step 6: Final answer
    x = 919.88

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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.