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Finding the Fourth Proportional to 1,151.09, 1,728.25 and 1,098.84

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Solution

The fourth proportional to 1,151.09, 1,728.25 and 1,098.84 is: 1,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.09 : 1,728.25 = 1,098.84 : x
  2. Step 2: Convert to fraction form
    1,151.09/1,728.25 = 1,098.84/x
  3. Step 3: Cross multiply
    1,151.09x = 1,728.25 × 1,098.84
  4. Step 4: Simplify right side
    1,151.09x = 1,899,067.48
  5. Step 5: Solve for x
    x = 1,899,067.48/1,151.09
  6. Step 6: Final answer
    x = 1,649.81

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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.