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Finding the Fourth Proportional to 872.48, 1,310.10 and 828.62

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Solution

The fourth proportional to 872.48, 1,310.10 and 828.62 is: 1,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.48 : 1,310.10 = 828.62 : x
  2. Step 2: Convert to fraction form
    872.48/1,310.10 = 828.62/x
  3. Step 3: Cross multiply
    872.48x = 1,310.10 × 828.62
  4. Step 4: Simplify right side
    872.48x = 1,085,575.06
  5. Step 5: Solve for x
    x = 1,085,575.06/872.48
  6. Step 6: Final answer
    x = 1,244.24

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