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Finding the Fourth Proportional to 1,131.73, 1,696.14 and 820.47

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Solution

The fourth proportional to 1,131.73, 1,696.14 and 820.47 is: 1,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.73 : 1,696.14 = 820.47 : x
  2. Step 2: Convert to fraction form
    1,131.73/1,696.14 = 820.47/x
  3. Step 3: Cross multiply
    1,131.73x = 1,696.14 × 820.47
  4. Step 4: Simplify right side
    1,131.73x = 1,391,626.42
  5. Step 5: Solve for x
    x = 1,391,626.42/1,131.73
  6. Step 6: Final answer
    x = 1,229.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.