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Finding the Fourth Proportional to 1,034.92, 1,553.82 and 828.84

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Solution

The fourth proportional to 1,034.92, 1,553.82 and 828.84 is: 1,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.92 : 1,553.82 = 828.84 : x
  2. Step 2: Convert to fraction form
    1,034.92/1,553.82 = 828.84/x
  3. Step 3: Cross multiply
    1,034.92x = 1,553.82 × 828.84
  4. Step 4: Simplify right side
    1,034.92x = 1,287,868.17
  5. Step 5: Solve for x
    x = 1,287,868.17/1,034.92
  6. Step 6: Final answer
    x = 1,244.41

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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.