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Finding the Fourth Proportional to 1,072.75, 1,608.78 and 552.68

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Solution

The fourth proportional to 1,072.75, 1,608.78 and 552.68 is: 828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.75 : 1,608.78 = 552.68 : x
  2. Step 2: Convert to fraction form
    1,072.75/1,608.78 = 552.68/x
  3. Step 3: Cross multiply
    1,072.75x = 1,608.78 × 552.68
  4. Step 4: Simplify right side
    1,072.75x = 889,143.23
  5. Step 5: Solve for x
    x = 889,143.23/1,072.75
  6. Step 6: Final answer
    x = 828.85

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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.