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Finding the Fourth Proportional to 1,682.97, 2,524.43 and 512.97

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Solution

The fourth proportional to 1,682.97, 2,524.43 and 512.97 is: 769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.97 : 2,524.43 = 512.97 : x
  2. Step 2: Convert to fraction form
    1,682.97/2,524.43 = 512.97/x
  3. Step 3: Cross multiply
    1,682.97x = 2,524.43 × 512.97
  4. Step 4: Simplify right side
    1,682.97x = 1,294,954.29
  5. Step 5: Solve for x
    x = 1,294,954.29/1,682.97
  6. Step 6: Final answer
    x = 769.45

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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.