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Finding the Fourth Proportional to 1,682.44, 2,523.62 and 512.44

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Solution

The fourth proportional to 1,682.44, 2,523.62 and 512.44 is: 768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.44 : 2,523.62 = 512.44 : x
  2. Step 2: Convert to fraction form
    1,682.44/2,523.62 = 512.44/x
  3. Step 3: Cross multiply
    1,682.44x = 2,523.62 × 512.44
  4. Step 4: Simplify right side
    1,682.44x = 1,293,203.83
  5. Step 5: Solve for x
    x = 1,293,203.83/1,682.44
  6. Step 6: Final answer
    x = 768.65

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1.5x scale

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.