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Finding the Fourth Proportional to 1,682.47, 2,523.39 and 512.22

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Solution

The fourth proportional to 1,682.47, 2,523.39 and 512.22 is: 768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.47 : 2,523.39 = 512.22 : x
  2. Step 2: Convert to fraction form
    1,682.47/2,523.39 = 512.22/x
  3. Step 3: Cross multiply
    1,682.47x = 2,523.39 × 512.22
  4. Step 4: Simplify right side
    1,682.47x = 1,292,538.37
  5. Step 5: Solve for x
    x = 1,292,538.37/1,682.47
  6. Step 6: Final answer
    x = 768.24

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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.