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Finding the Fourth Proportional to 1,408.90, 2,111.33 and 791.31

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Solution

The fourth proportional to 1,408.90, 2,111.33 and 791.31 is: 1,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.90 : 2,111.33 = 791.31 : x
  2. Step 2: Convert to fraction form
    1,408.90/2,111.33 = 791.31/x
  3. Step 3: Cross multiply
    1,408.90x = 2,111.33 × 791.31
  4. Step 4: Simplify right side
    1,408.90x = 1,670,711.59
  5. Step 5: Solve for x
    x = 1,670,711.59/1,408.90
  6. Step 6: Final answer
    x = 1,185.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.