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Finding the Fourth Proportional to 890.14, 1,227.81 and 541.03

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Solution

The fourth proportional to 890.14, 1,227.81 and 541.03 is: 746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.14 : 1,227.81 = 541.03 : x
  2. Step 2: Convert to fraction form
    890.14/1,227.81 = 541.03/x
  3. Step 3: Cross multiply
    890.14x = 1,227.81 × 541.03
  4. Step 4: Simplify right side
    890.14x = 664,282.04
  5. Step 5: Solve for x
    x = 664,282.04/890.14
  6. Step 6: Final answer
    x = 746.27

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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.