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Finding the Fourth Proportional to 1,682.72, 2,523.68 and 527.84

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Solution

The fourth proportional to 1,682.72, 2,523.68 and 527.84 is: 791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.72 : 2,523.68 = 527.84 : x
  2. Step 2: Convert to fraction form
    1,682.72/2,523.68 = 527.84/x
  3. Step 3: Cross multiply
    1,682.72x = 2,523.68 × 527.84
  4. Step 4: Simplify right side
    1,682.72x = 1,332,099.25
  5. Step 5: Solve for x
    x = 1,332,099.25/1,682.72
  6. Step 6: Final answer
    x = 791.63

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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.