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Finding the Fourth Proportional to 1,138.29, 1,704.79 and 1,099.34

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Solution

The fourth proportional to 1,138.29, 1,704.79 and 1,099.34 is: 1,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.29 : 1,704.79 = 1,099.34 : x
  2. Step 2: Convert to fraction form
    1,138.29/1,704.79 = 1,099.34/x
  3. Step 3: Cross multiply
    1,138.29x = 1,704.79 × 1,099.34
  4. Step 4: Simplify right side
    1,138.29x = 1,874,143.84
  5. Step 5: Solve for x
    x = 1,874,143.84/1,138.29
  6. Step 6: Final answer
    x = 1,646.46

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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.