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Finding the Fourth Proportional to 828.16, 1,143.29 and 641.23

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Solution

The fourth proportional to 828.16, 1,143.29 and 641.23 is: 885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.16 : 1,143.29 = 641.23 : x
  2. Step 2: Convert to fraction form
    828.16/1,143.29 = 641.23/x
  3. Step 3: Cross multiply
    828.16x = 1,143.29 × 641.23
  4. Step 4: Simplify right side
    828.16x = 733,111.85
  5. Step 5: Solve for x
    x = 733,111.85/828.16
  6. Step 6: Final answer
    x = 885.23

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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.