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Finding the Fourth Proportional to 1,082.62, 1,493.40 and 688.96

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Solution

The fourth proportional to 1,082.62, 1,493.40 and 688.96 is: 950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.62 : 1,493.40 = 688.96 : x
  2. Step 2: Convert to fraction form
    1,082.62/1,493.40 = 688.96/x
  3. Step 3: Cross multiply
    1,082.62x = 1,493.40 × 688.96
  4. Step 4: Simplify right side
    1,082.62x = 1,028,892.86
  5. Step 5: Solve for x
    x = 1,028,892.86/1,082.62
  6. Step 6: Final answer
    x = 950.37

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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.