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Finding the Fourth Proportional to 872.43, 1,310.06 and 828.57

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Solution

The fourth proportional to 872.43, 1,310.06 and 828.57 is: 1,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.43 : 1,310.06 = 828.57 : x
  2. Step 2: Convert to fraction form
    872.43/1,310.06 = 828.57/x
  3. Step 3: Cross multiply
    872.43x = 1,310.06 × 828.57
  4. Step 4: Simplify right side
    872.43x = 1,085,476.41
  5. Step 5: Solve for x
    x = 1,085,476.41/872.43
  6. Step 6: Final answer
    x = 1,244.20

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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.