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Finding the Fourth Proportional to 905.68, 1,249.48 and 640.51

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Solution

The fourth proportional to 905.68, 1,249.48 and 640.51 is: 883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.68 : 1,249.48 = 640.51 : x
  2. Step 2: Convert to fraction form
    905.68/1,249.48 = 640.51/x
  3. Step 3: Cross multiply
    905.68x = 1,249.48 × 640.51
  4. Step 4: Simplify right side
    905.68x = 800,304.43
  5. Step 5: Solve for x
    x = 800,304.43/905.68
  6. Step 6: Final answer
    x = 883.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.