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Finding the Fourth Proportional to 1,333.46, 1,839.90 and 809.20

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Solution

The fourth proportional to 1,333.46, 1,839.90 and 809.20 is: 1,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.46 : 1,839.90 = 809.20 : x
  2. Step 2: Convert to fraction form
    1,333.46/1,839.90 = 809.20/x
  3. Step 3: Cross multiply
    1,333.46x = 1,839.90 × 809.20
  4. Step 4: Simplify right side
    1,333.46x = 1,488,847.08
  5. Step 5: Solve for x
    x = 1,488,847.08/1,333.46
  6. Step 6: Final answer
    x = 1,116.53

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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.