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Finding the Fourth Proportional to 1,682.25, 2,523.38 and 449.79

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Solution

The fourth proportional to 1,682.25, 2,523.38 and 449.79 is: 674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.25 : 2,523.38 = 449.79 : x
  2. Step 2: Convert to fraction form
    1,682.25/2,523.38 = 449.79/x
  3. Step 3: Cross multiply
    1,682.25x = 2,523.38 × 449.79
  4. Step 4: Simplify right side
    1,682.25x = 1,134,988.84
  5. Step 5: Solve for x
    x = 1,134,988.84/1,682.25
  6. Step 6: Final answer
    x = 674.69

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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.