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Finding the Fourth Proportional to 1,200.98, 1,660.17 and 1,189.94

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Solution

The fourth proportional to 1,200.98, 1,660.17 and 1,189.94 is: 1,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.98 : 1,660.17 = 1,189.94 : x
  2. Step 2: Convert to fraction form
    1,200.98/1,660.17 = 1,189.94/x
  3. Step 3: Cross multiply
    1,200.98x = 1,660.17 × 1,189.94
  4. Step 4: Simplify right side
    1,200.98x = 1,975,502.69
  5. Step 5: Solve for x
    x = 1,975,502.69/1,200.98
  6. Step 6: Final answer
    x = 1,644.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.