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Finding the Fourth Proportional to 1,103.97, 1,523.61 and 684.60

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Solution

The fourth proportional to 1,103.97, 1,523.61 and 684.60 is: 944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.97 : 1,523.61 = 684.60 : x
  2. Step 2: Convert to fraction form
    1,103.97/1,523.61 = 684.60/x
  3. Step 3: Cross multiply
    1,103.97x = 1,523.61 × 684.60
  4. Step 4: Simplify right side
    1,103.97x = 1,043,063.41
  5. Step 5: Solve for x
    x = 1,043,063.41/1,103.97
  6. Step 6: Final answer
    x = 944.83

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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.