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Finding the Fourth Proportional to 1,496.43, 2,064.57 and 905.94

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Solution

The fourth proportional to 1,496.43, 2,064.57 and 905.94 is: 1,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.43 : 2,064.57 = 905.94 : x
  2. Step 2: Convert to fraction form
    1,496.43/2,064.57 = 905.94/x
  3. Step 3: Cross multiply
    1,496.43x = 2,064.57 × 905.94
  4. Step 4: Simplify right side
    1,496.43x = 1,870,376.55
  5. Step 5: Solve for x
    x = 1,870,376.55/1,496.43
  6. Step 6: Final answer
    x = 1,249.89

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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.