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Finding the Fourth Proportional to 1,082.45, 1,493.33 and 662.47

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Solution

The fourth proportional to 1,082.45, 1,493.33 and 662.47 is: 913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.45 : 1,493.33 = 662.47 : x
  2. Step 2: Convert to fraction form
    1,082.45/1,493.33 = 662.47/x
  3. Step 3: Cross multiply
    1,082.45x = 1,493.33 × 662.47
  4. Step 4: Simplify right side
    1,082.45x = 989,286.33
  5. Step 5: Solve for x
    x = 989,286.33/1,082.45
  6. Step 6: Final answer
    x = 913.93

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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.