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Finding the Fourth Proportional to 1,082.45, 1,616.35 and 949.69

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Solution

The fourth proportional to 1,082.45, 1,616.35 and 949.69 is: 1,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.45 : 1,616.35 = 949.69 : x
  2. Step 2: Convert to fraction form
    1,082.45/1,616.35 = 949.69/x
  3. Step 3: Cross multiply
    1,082.45x = 1,616.35 × 949.69
  4. Step 4: Simplify right side
    1,082.45x = 1,535,031.43
  5. Step 5: Solve for x
    x = 1,535,031.43/1,082.45
  6. Step 6: Final answer
    x = 1,418.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.