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Finding the Fourth Proportional to 905.09, 1,249.28 and 532.08

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Solution

The fourth proportional to 905.09, 1,249.28 and 532.08 is: 734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.09 : 1,249.28 = 532.08 : x
  2. Step 2: Convert to fraction form
    905.09/1,249.28 = 532.08/x
  3. Step 3: Cross multiply
    905.09x = 1,249.28 × 532.08
  4. Step 4: Simplify right side
    905.09x = 664,714.24
  5. Step 5: Solve for x
    x = 664,714.24/905.09
  6. Step 6: Final answer
    x = 734.42

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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.