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Finding the Fourth Proportional to 1,082.57, 1,493.24 and 689.51

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Solution

The fourth proportional to 1,082.57, 1,493.24 and 689.51 is: 951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.57 : 1,493.24 = 689.51 : x
  2. Step 2: Convert to fraction form
    1,082.57/1,493.24 = 689.51/x
  3. Step 3: Cross multiply
    1,082.57x = 1,493.24 × 689.51
  4. Step 4: Simplify right side
    1,082.57x = 1,029,604.20
  5. Step 5: Solve for x
    x = 1,029,604.20/1,082.57
  6. Step 6: Final answer
    x = 951.08

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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.