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Finding the Fourth Proportional to 905.59, 1,249.77 and 512.59

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Solution

The fourth proportional to 905.59, 1,249.77 and 512.59 is: 707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.59 : 1,249.77 = 512.59 : x
  2. Step 2: Convert to fraction form
    905.59/1,249.77 = 512.59/x
  3. Step 3: Cross multiply
    905.59x = 1,249.77 × 512.59
  4. Step 4: Simplify right side
    905.59x = 640,619.60
  5. Step 5: Solve for x
    x = 640,619.60/905.59
  6. Step 6: Final answer
    x = 707.41

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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.