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Finding the Fourth Proportional to 1,083.27, 1,494.96 and 641.16

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Solution

The fourth proportional to 1,083.27, 1,494.96 and 641.16 is: 884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.27 : 1,494.96 = 641.16 : x
  2. Step 2: Convert to fraction form
    1,083.27/1,494.96 = 641.16/x
  3. Step 3: Cross multiply
    1,083.27x = 1,494.96 × 641.16
  4. Step 4: Simplify right side
    1,083.27x = 958,508.55
  5. Step 5: Solve for x
    x = 958,508.55/1,083.27
  6. Step 6: Final answer
    x = 884.83

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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.