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Finding the Fourth Proportional to 1,791.62, 2,687.36 and 559.02

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Solution

The fourth proportional to 1,791.62, 2,687.36 and 559.02 is: 838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.62 : 2,687.36 = 559.02 : x
  2. Step 2: Convert to fraction form
    1,791.62/2,687.36 = 559.02/x
  3. Step 3: Cross multiply
    1,791.62x = 2,687.36 × 559.02
  4. Step 4: Simplify right side
    1,791.62x = 1,502,287.99
  5. Step 5: Solve for x
    x = 1,502,287.99/1,791.62
  6. Step 6: Final answer
    x = 838.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.