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Finding the Fourth Proportional to 828.45, 1,143.07 and 696.17

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Solution

The fourth proportional to 828.45, 1,143.07 and 696.17 is: 960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.45 : 1,143.07 = 696.17 : x
  2. Step 2: Convert to fraction form
    828.45/1,143.07 = 696.17/x
  3. Step 3: Cross multiply
    828.45x = 1,143.07 × 696.17
  4. Step 4: Simplify right side
    828.45x = 795,772.16
  5. Step 5: Solve for x
    x = 795,772.16/828.45
  6. Step 6: Final answer
    x = 960.56

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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.