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Finding the Fourth Proportional to 1,103.27, 1,651.70 and 1,083.83

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Solution

The fourth proportional to 1,103.27, 1,651.70 and 1,083.83 is: 1,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.27 : 1,651.70 = 1,083.83 : x
  2. Step 2: Convert to fraction form
    1,103.27/1,651.70 = 1,083.83/x
  3. Step 3: Cross multiply
    1,103.27x = 1,651.70 × 1,083.83
  4. Step 4: Simplify right side
    1,103.27x = 1,790,156.46
  5. Step 5: Solve for x
    x = 1,790,156.46/1,103.27
  6. Step 6: Final answer
    x = 1,622.60

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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.