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Finding the Fourth Proportional to 1,100.65, 1,649.32 and 1,073.49

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Solution

The fourth proportional to 1,100.65, 1,649.32 and 1,073.49 is: 1,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.65 : 1,649.32 = 1,073.49 : x
  2. Step 2: Convert to fraction form
    1,100.65/1,649.32 = 1,073.49/x
  3. Step 3: Cross multiply
    1,100.65x = 1,649.32 × 1,073.49
  4. Step 4: Simplify right side
    1,100.65x = 1,770,528.53
  5. Step 5: Solve for x
    x = 1,770,528.53/1,100.65
  6. Step 6: Final answer
    x = 1,608.62

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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.