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Finding the Fourth Proportional to 1,086.72, 1,626.42 and 674.42

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Solution

The fourth proportional to 1,086.72, 1,626.42 and 674.42 is: 1,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.72 : 1,626.42 = 674.42 : x
  2. Step 2: Convert to fraction form
    1,086.72/1,626.42 = 674.42/x
  3. Step 3: Cross multiply
    1,086.72x = 1,626.42 × 674.42
  4. Step 4: Simplify right side
    1,086.72x = 1,096,890.18
  5. Step 5: Solve for x
    x = 1,096,890.18/1,086.72
  6. Step 6: Final answer
    x = 1,009.36

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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.