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Finding the Fourth Proportional to 905.31, 1,249.49 and 556.07

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Solution

The fourth proportional to 905.31, 1,249.49 and 556.07 is: 767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.31 : 1,249.49 = 556.07 : x
  2. Step 2: Convert to fraction form
    905.31/1,249.49 = 556.07/x
  3. Step 3: Cross multiply
    905.31x = 1,249.49 × 556.07
  4. Step 4: Simplify right side
    905.31x = 694,799.05
  5. Step 5: Solve for x
    x = 694,799.05/905.31
  6. Step 6: Final answer
    x = 767.47

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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.