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Finding the Fourth Proportional to 1,408.33, 1,943.49 and 787.33

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Solution

The fourth proportional to 1,408.33, 1,943.49 and 787.33 is: 1,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.33 : 1,943.49 = 787.33 : x
  2. Step 2: Convert to fraction form
    1,408.33/1,943.49 = 787.33/x
  3. Step 3: Cross multiply
    1,408.33x = 1,943.49 × 787.33
  4. Step 4: Simplify right side
    1,408.33x = 1,530,167.98
  5. Step 5: Solve for x
    x = 1,530,167.98/1,408.33
  6. Step 6: Final answer
    x = 1,086.51

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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.