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Finding the Fourth Proportional to 1,082.21, 1,493.57 and 709.28

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Solution

The fourth proportional to 1,082.21, 1,493.57 and 709.28 is: 978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.21 : 1,493.57 = 709.28 : x
  2. Step 2: Convert to fraction form
    1,082.21/1,493.57 = 709.28/x
  3. Step 3: Cross multiply
    1,082.21x = 1,493.57 × 709.28
  4. Step 4: Simplify right side
    1,082.21x = 1,059,359.33
  5. Step 5: Solve for x
    x = 1,059,359.33/1,082.21
  6. Step 6: Final answer
    x = 978.89

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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.