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Finding the Fourth Proportional to 1,494.89, 2,063.07 and 905.42

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Solution

The fourth proportional to 1,494.89, 2,063.07 and 905.42 is: 1,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.89 : 2,063.07 = 905.42 : x
  2. Step 2: Convert to fraction form
    1,494.89/2,063.07 = 905.42/x
  3. Step 3: Cross multiply
    1,494.89x = 2,063.07 × 905.42
  4. Step 4: Simplify right side
    1,494.89x = 1,867,934.52
  5. Step 5: Solve for x
    x = 1,867,934.52/1,494.89
  6. Step 6: Final answer
    x = 1,249.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.