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Finding the Fourth Proportional to 905.39, 1,249.34 and 512.40

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Solution

The fourth proportional to 905.39, 1,249.34 and 512.40 is: 707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.39 : 1,249.34 = 512.40 : x
  2. Step 2: Convert to fraction form
    905.39/1,249.34 = 512.40/x
  3. Step 3: Cross multiply
    905.39x = 1,249.34 × 512.40
  4. Step 4: Simplify right side
    905.39x = 640,159.25
  5. Step 5: Solve for x
    x = 640,159.25/905.39
  6. Step 6: Final answer
    x = 707.06

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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.