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Finding the Fourth Proportional to 1,082.14, 1,493.86 and 709.14

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Solution

The fourth proportional to 1,082.14, 1,493.86 and 709.14 is: 978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.14 : 1,493.86 = 709.14 : x
  2. Step 2: Convert to fraction form
    1,082.14/1,493.86 = 709.14/x
  3. Step 3: Cross multiply
    1,082.14x = 1,493.86 × 709.14
  4. Step 4: Simplify right side
    1,082.14x = 1,059,355.88
  5. Step 5: Solve for x
    x = 1,059,355.88/1,082.14
  6. Step 6: Final answer
    x = 978.95

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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.