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Finding the Fourth Proportional to 1,081.46, 1,491.83 and 941.33

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Solution

The fourth proportional to 1,081.46, 1,491.83 and 941.33 is: 1,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.46 : 1,491.83 = 941.33 : x
  2. Step 2: Convert to fraction form
    1,081.46/1,491.83 = 941.33/x
  3. Step 3: Cross multiply
    1,081.46x = 1,491.83 × 941.33
  4. Step 4: Simplify right side
    1,081.46x = 1,404,310.42
  5. Step 5: Solve for x
    x = 1,404,310.42/1,081.46
  6. Step 6: Final answer
    x = 1,298.53

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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.