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Finding the Fourth Proportional to 905.41, 1,249.46 and 491.41

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Solution

The fourth proportional to 905.41, 1,249.46 and 491.41 is: 678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.41 : 1,249.46 = 491.41 : x
  2. Step 2: Convert to fraction form
    905.41/1,249.46 = 491.41/x
  3. Step 3: Cross multiply
    905.41x = 1,249.46 × 491.41
  4. Step 4: Simplify right side
    905.41x = 613,994.01
  5. Step 5: Solve for x
    x = 613,994.01/905.41
  6. Step 6: Final answer
    x = 678.14

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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.