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Finding the Fourth Proportional to 1,082.30, 1,493.64 and 935.28

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Solution

The fourth proportional to 1,082.30, 1,493.64 and 935.28 is: 1,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.30 : 1,493.64 = 935.28 : x
  2. Step 2: Convert to fraction form
    1,082.30/1,493.64 = 935.28/x
  3. Step 3: Cross multiply
    1,082.30x = 1,493.64 × 935.28
  4. Step 4: Simplify right side
    1,082.30x = 1,396,971.62
  5. Step 5: Solve for x
    x = 1,396,971.62/1,082.30
  6. Step 6: Final answer
    x = 1,290.75

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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.