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Finding the Fourth Proportional to 1,682.45, 2,523.99 and 512.56

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Solution

The fourth proportional to 1,682.45, 2,523.99 and 512.56 is: 768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.45 : 2,523.99 = 512.56 : x
  2. Step 2: Convert to fraction form
    1,682.45/2,523.99 = 512.56/x
  3. Step 3: Cross multiply
    1,682.45x = 2,523.99 × 512.56
  4. Step 4: Simplify right side
    1,682.45x = 1,293,701.39
  5. Step 5: Solve for x
    x = 1,293,701.39/1,682.45
  6. Step 6: Final answer
    x = 768.94

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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.