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Finding the Fourth Proportional to 1,193.70, 1,776.46 and 1,149.96

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Solution

The fourth proportional to 1,193.70, 1,776.46 and 1,149.96 is: 1,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.70 : 1,776.46 = 1,149.96 : x
  2. Step 2: Convert to fraction form
    1,193.70/1,776.46 = 1,149.96/x
  3. Step 3: Cross multiply
    1,193.70x = 1,776.46 × 1,149.96
  4. Step 4: Simplify right side
    1,193.70x = 2,042,857.94
  5. Step 5: Solve for x
    x = 2,042,857.94/1,193.70
  6. Step 6: Final answer
    x = 1,711.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.