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Finding the Fourth Proportional to 1,791.46, 2,687.30 and 475.24

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Solution

The fourth proportional to 1,791.46, 2,687.30 and 475.24 is: 712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.46 : 2,687.30 = 475.24 : x
  2. Step 2: Convert to fraction form
    1,791.46/2,687.30 = 475.24/x
  3. Step 3: Cross multiply
    1,791.46x = 2,687.30 × 475.24
  4. Step 4: Simplify right side
    1,791.46x = 1,277,112.45
  5. Step 5: Solve for x
    x = 1,277,112.45/1,791.46
  6. Step 6: Final answer
    x = 712.89

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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.