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Finding the Fourth Proportional to 905.39, 1,249.56 and 657.53

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Solution

The fourth proportional to 905.39, 1,249.56 and 657.53 is: 907.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.39 : 1,249.56 = 657.53 : x
  2. Step 2: Convert to fraction form
    905.39/1,249.56 = 657.53/x
  3. Step 3: Cross multiply
    905.39x = 1,249.56 × 657.53
  4. Step 4: Simplify right side
    905.39x = 821,616.94
  5. Step 5: Solve for x
    x = 821,616.94/905.39
  6. Step 6: Final answer
    x = 907.48

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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.