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Finding the Fourth Proportional to 1,138.49, 1,709.27 and 728.43

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Solution

The fourth proportional to 1,138.49, 1,709.27 and 728.43 is: 1,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.49 : 1,709.27 = 728.43 : x
  2. Step 2: Convert to fraction form
    1,138.49/1,709.27 = 728.43/x
  3. Step 3: Cross multiply
    1,138.49x = 1,709.27 × 728.43
  4. Step 4: Simplify right side
    1,138.49x = 1,245,076.23
  5. Step 5: Solve for x
    x = 1,245,076.23/1,138.49
  6. Step 6: Final answer
    x = 1,093.62

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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.