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Finding the Fourth Proportional to 1,082.28, 1,494 and 733.44

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Solution

The fourth proportional to 1,082.28, 1,494 and 733.44 is: 1,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.28 : 1,494 = 733.44 : x
  2. Step 2: Convert to fraction form
    1,082.28/1,494 = 733.44/x
  3. Step 3: Cross multiply
    1,082.28x = 1,494 × 733.44
  4. Step 4: Simplify right side
    1,082.28x = 1,095,759.36
  5. Step 5: Solve for x
    x = 1,095,759.36/1,082.28
  6. Step 6: Final answer
    x = 1,012.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.