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Finding the Fourth Proportional to 1,304.64, 1,799.82 and 1,082.70

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Solution

The fourth proportional to 1,304.64, 1,799.82 and 1,082.70 is: 1,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.64 : 1,799.82 = 1,082.70 : x
  2. Step 2: Convert to fraction form
    1,304.64/1,799.82 = 1,082.70/x
  3. Step 3: Cross multiply
    1,304.64x = 1,799.82 × 1,082.70
  4. Step 4: Simplify right side
    1,304.64x = 1,948,665.11
  5. Step 5: Solve for x
    x = 1,948,665.11/1,304.64
  6. Step 6: Final answer
    x = 1,493.64

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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.