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Finding the Fourth Proportional to 922.27, 1,272.09 and 627.04

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Solution

The fourth proportional to 922.27, 1,272.09 and 627.04 is: 864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.27 : 1,272.09 = 627.04 : x
  2. Step 2: Convert to fraction form
    922.27/1,272.09 = 627.04/x
  3. Step 3: Cross multiply
    922.27x = 1,272.09 × 627.04
  4. Step 4: Simplify right side
    922.27x = 797,651.31
  5. Step 5: Solve for x
    x = 797,651.31/922.27
  6. Step 6: Final answer
    x = 864.88

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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.