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Finding the Fourth Proportional to 1,317.11, 1,817.97 and 819.46

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Solution

The fourth proportional to 1,317.11, 1,817.97 and 819.46 is: 1,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.11 : 1,817.97 = 819.46 : x
  2. Step 2: Convert to fraction form
    1,317.11/1,817.97 = 819.46/x
  3. Step 3: Cross multiply
    1,317.11x = 1,817.97 × 819.46
  4. Step 4: Simplify right side
    1,317.11x = 1,489,747.28
  5. Step 5: Solve for x
    x = 1,489,747.28/1,317.11
  6. Step 6: Final answer
    x = 1,131.07

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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.