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Finding the Fourth Proportional to 1,408.60, 1,943.82 and 819.04

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Solution

The fourth proportional to 1,408.60, 1,943.82 and 819.04 is: 1,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.60 : 1,943.82 = 819.04 : x
  2. Step 2: Convert to fraction form
    1,408.60/1,943.82 = 819.04/x
  3. Step 3: Cross multiply
    1,408.60x = 1,943.82 × 819.04
  4. Step 4: Simplify right side
    1,408.60x = 1,592,066.33
  5. Step 5: Solve for x
    x = 1,592,066.33/1,408.60
  6. Step 6: Final answer
    x = 1,130.25

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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.