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Finding the Fourth Proportional to 1,682.07, 2,523.09 and 527.82

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Solution

The fourth proportional to 1,682.07, 2,523.09 and 527.82 is: 791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.07 : 2,523.09 = 527.82 : x
  2. Step 2: Convert to fraction form
    1,682.07/2,523.09 = 527.82/x
  3. Step 3: Cross multiply
    1,682.07x = 2,523.09 × 527.82
  4. Step 4: Simplify right side
    1,682.07x = 1,331,737.36
  5. Step 5: Solve for x
    x = 1,331,737.36/1,682.07
  6. Step 6: Final answer
    x = 791.73

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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.