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Finding the Fourth Proportional to 892.43, 1,338.48 and 720.11

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Solution

The fourth proportional to 892.43, 1,338.48 and 720.11 is: 1,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.43 : 1,338.48 = 720.11 : x
  2. Step 2: Convert to fraction form
    892.43/1,338.48 = 720.11/x
  3. Step 3: Cross multiply
    892.43x = 1,338.48 × 720.11
  4. Step 4: Simplify right side
    892.43x = 963,852.83
  5. Step 5: Solve for x
    x = 963,852.83/892.43
  6. Step 6: Final answer
    x = 1,080.03

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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.