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Finding the Fourth Proportional to 1,104.21, 1,523.23 and 684.43

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Solution

The fourth proportional to 1,104.21, 1,523.23 and 684.43 is: 944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.21 : 1,523.23 = 684.43 : x
  2. Step 2: Convert to fraction form
    1,104.21/1,523.23 = 684.43/x
  3. Step 3: Cross multiply
    1,104.21x = 1,523.23 × 684.43
  4. Step 4: Simplify right side
    1,104.21x = 1,042,536.69
  5. Step 5: Solve for x
    x = 1,042,536.69/1,104.21
  6. Step 6: Final answer
    x = 944.15

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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.