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Finding the Fourth Proportional to 905.08, 1,249.02 and 512.08

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Solution

The fourth proportional to 905.08, 1,249.02 and 512.08 is: 706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.08 : 1,249.02 = 512.08 : x
  2. Step 2: Convert to fraction form
    905.08/1,249.02 = 512.08/x
  3. Step 3: Cross multiply
    905.08x = 1,249.02 × 512.08
  4. Step 4: Simplify right side
    905.08x = 639,598.16
  5. Step 5: Solve for x
    x = 639,598.16/905.08
  6. Step 6: Final answer
    x = 706.68

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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.