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Finding the Fourth Proportional to 905.04, 1,249.02 and 512.10

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Solution

The fourth proportional to 905.04, 1,249.02 and 512.10 is: 706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.04 : 1,249.02 = 512.10 : x
  2. Step 2: Convert to fraction form
    905.04/1,249.02 = 512.10/x
  3. Step 3: Cross multiply
    905.04x = 1,249.02 × 512.10
  4. Step 4: Simplify right side
    905.04x = 639,623.14
  5. Step 5: Solve for x
    x = 639,623.14/905.04
  6. Step 6: Final answer
    x = 706.73

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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.