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Finding the Fourth Proportional to 1,408.50, 1,943.69 and 819.02

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Solution

The fourth proportional to 1,408.50, 1,943.69 and 819.02 is: 1,130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.50 : 1,943.69 = 819.02 : x
  2. Step 2: Convert to fraction form
    1,408.50/1,943.69 = 819.02/x
  3. Step 3: Cross multiply
    1,408.50x = 1,943.69 × 819.02
  4. Step 4: Simplify right side
    1,408.50x = 1,591,907.17
  5. Step 5: Solve for x
    x = 1,591,907.17/1,408.50
  6. Step 6: Final answer
    x = 1,130.21

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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.