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Finding the Fourth Proportional to 905.24, 1,249.16 and 512.18

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Solution

The fourth proportional to 905.24, 1,249.16 and 512.18 is: 706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.24 : 1,249.16 = 512.18 : x
  2. Step 2: Convert to fraction form
    905.24/1,249.16 = 512.18/x
  3. Step 3: Cross multiply
    905.24x = 1,249.16 × 512.18
  4. Step 4: Simplify right side
    905.24x = 639,792.21
  5. Step 5: Solve for x
    x = 639,792.21/905.24
  6. Step 6: Final answer
    x = 706.77

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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.