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Finding the Fourth Proportional to 892.53, 1,232.08 and 671.54

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Solution

The fourth proportional to 892.53, 1,232.08 and 671.54 is: 927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.53 : 1,232.08 = 671.54 : x
  2. Step 2: Convert to fraction form
    892.53/1,232.08 = 671.54/x
  3. Step 3: Cross multiply
    892.53x = 1,232.08 × 671.54
  4. Step 4: Simplify right side
    892.53x = 827,383.16
  5. Step 5: Solve for x
    x = 827,383.16/892.53
  6. Step 6: Final answer
    x = 927.01

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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.