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Finding the Fourth Proportional to 1,682.87, 2,524.44 and 512.98

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Solution

The fourth proportional to 1,682.87, 2,524.44 and 512.98 is: 769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.87 : 2,524.44 = 512.98 : x
  2. Step 2: Convert to fraction form
    1,682.87/2,524.44 = 512.98/x
  3. Step 3: Cross multiply
    1,682.87x = 2,524.44 × 512.98
  4. Step 4: Simplify right side
    1,682.87x = 1,294,980.92
  5. Step 5: Solve for x
    x = 1,294,980.92/1,682.87
  6. Step 6: Final answer
    x = 769.51

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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.