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Finding the Fourth Proportional to 969.56, 1,451.10 and 680.12

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Solution

The fourth proportional to 969.56, 1,451.10 and 680.12 is: 1,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.56 : 1,451.10 = 680.12 : x
  2. Step 2: Convert to fraction form
    969.56/1,451.10 = 680.12/x
  3. Step 3: Cross multiply
    969.56x = 1,451.10 × 680.12
  4. Step 4: Simplify right side
    969.56x = 986,922.13
  5. Step 5: Solve for x
    x = 986,922.13/969.56
  6. Step 6: Final answer
    x = 1,017.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.