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Finding the Fourth Proportional to 905.25, 1,249.25 and 491.25

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Solution

The fourth proportional to 905.25, 1,249.25 and 491.25 is: 677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.25 : 1,249.25 = 491.25 : x
  2. Step 2: Convert to fraction form
    905.25/1,249.25 = 491.25/x
  3. Step 3: Cross multiply
    905.25x = 1,249.25 × 491.25
  4. Step 4: Simplify right side
    905.25x = 613,691.61
  5. Step 5: Solve for x
    x = 613,691.61/905.25
  6. Step 6: Final answer
    x = 677.93

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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.