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Finding the Fourth Proportional to 905.30, 1,249.14 and 546.39

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Solution

The fourth proportional to 905.30, 1,249.14 and 546.39 is: 753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.30 : 1,249.14 = 546.39 : x
  2. Step 2: Convert to fraction form
    905.30/1,249.14 = 546.39/x
  3. Step 3: Cross multiply
    905.30x = 1,249.14 × 546.39
  4. Step 4: Simplify right side
    905.30x = 682,517.60
  5. Step 5: Solve for x
    x = 682,517.60/905.30
  6. Step 6: Final answer
    x = 753.92

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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.