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Finding the Fourth Proportional to 1,448.79, 1,991.96 and 1,289.94

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Solution

The fourth proportional to 1,448.79, 1,991.96 and 1,289.94 is: 1,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.79 : 1,991.96 = 1,289.94 : x
  2. Step 2: Convert to fraction form
    1,448.79/1,991.96 = 1,289.94/x
  3. Step 3: Cross multiply
    1,448.79x = 1,991.96 × 1,289.94
  4. Step 4: Simplify right side
    1,448.79x = 2,569,502.43
  5. Step 5: Solve for x
    x = 2,569,502.43/1,448.79
  6. Step 6: Final answer
    x = 1,773.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.