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Finding the Fourth Proportional to 905.07, 1,249.02 and 512.02

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Solution

The fourth proportional to 905.07, 1,249.02 and 512.02 is: 706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.07 : 1,249.02 = 512.02 : x
  2. Step 2: Convert to fraction form
    905.07/1,249.02 = 512.02/x
  3. Step 3: Cross multiply
    905.07x = 1,249.02 × 512.02
  4. Step 4: Simplify right side
    905.07x = 639,523.22
  5. Step 5: Solve for x
    x = 639,523.22/905.07
  6. Step 6: Final answer
    x = 706.60

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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.