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Finding the Fourth Proportional to 817.11, 1,127.43 and 522.27

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Solution

The fourth proportional to 817.11, 1,127.43 and 522.27 is: 720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.11 : 1,127.43 = 522.27 : x
  2. Step 2: Convert to fraction form
    817.11/1,127.43 = 522.27/x
  3. Step 3: Cross multiply
    817.11x = 1,127.43 × 522.27
  4. Step 4: Simplify right side
    817.11x = 588,822.87
  5. Step 5: Solve for x
    x = 588,822.87/817.11
  6. Step 6: Final answer
    x = 720.62

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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.