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Finding the Fourth Proportional to 1,150.73, 1,721.71 and 698.25

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Solution

The fourth proportional to 1,150.73, 1,721.71 and 698.25 is: 1,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.73 : 1,721.71 = 698.25 : x
  2. Step 2: Convert to fraction form
    1,150.73/1,721.71 = 698.25/x
  3. Step 3: Cross multiply
    1,150.73x = 1,721.71 × 698.25
  4. Step 4: Simplify right side
    1,150.73x = 1,202,184.01
  5. Step 5: Solve for x
    x = 1,202,184.01/1,150.73
  6. Step 6: Final answer
    x = 1,044.71

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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.