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Finding the Fourth Proportional to 905.73, 1,249.85 and 512.81

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Solution

The fourth proportional to 905.73, 1,249.85 and 512.81 is: 707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.73 : 1,249.85 = 512.81 : x
  2. Step 2: Convert to fraction form
    905.73/1,249.85 = 512.81/x
  3. Step 3: Cross multiply
    905.73x = 1,249.85 × 512.81
  4. Step 4: Simplify right side
    905.73x = 640,926.77
  5. Step 5: Solve for x
    x = 640,926.77/905.73
  6. Step 6: Final answer
    x = 707.64

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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.