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Finding the Fourth Proportional to 1,094.92, 1,638.53 and 684.25

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Solution

The fourth proportional to 1,094.92, 1,638.53 and 684.25 is: 1,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.92 : 1,638.53 = 684.25 : x
  2. Step 2: Convert to fraction form
    1,094.92/1,638.53 = 684.25/x
  3. Step 3: Cross multiply
    1,094.92x = 1,638.53 × 684.25
  4. Step 4: Simplify right side
    1,094.92x = 1,121,160.73
  5. Step 5: Solve for x
    x = 1,121,160.73/1,094.92
  6. Step 6: Final answer
    x = 1,023.97

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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.