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Finding the Fourth Proportional to 1,682.52, 2,523.24 and 512.07

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Solution

The fourth proportional to 1,682.52, 2,523.24 and 512.07 is: 767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.52 : 2,523.24 = 512.07 : x
  2. Step 2: Convert to fraction form
    1,682.52/2,523.24 = 512.07/x
  3. Step 3: Cross multiply
    1,682.52x = 2,523.24 × 512.07
  4. Step 4: Simplify right side
    1,682.52x = 1,292,075.51
  5. Step 5: Solve for x
    x = 1,292,075.51/1,682.52
  6. Step 6: Final answer
    x = 767.94

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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.