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Finding the Fourth Proportional to 1,246.43, 1,720.11 and 827.26

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Solution

The fourth proportional to 1,246.43, 1,720.11 and 827.26 is: 1,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.43 : 1,720.11 = 827.26 : x
  2. Step 2: Convert to fraction form
    1,246.43/1,720.11 = 827.26/x
  3. Step 3: Cross multiply
    1,246.43x = 1,720.11 × 827.26
  4. Step 4: Simplify right side
    1,246.43x = 1,422,973.90
  5. Step 5: Solve for x
    x = 1,422,973.90/1,246.43
  6. Step 6: Final answer
    x = 1,141.64

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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.