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Finding the Fourth Proportional to 1,072.77, 1,610.14 and 798.03

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Solution

The fourth proportional to 1,072.77, 1,610.14 and 798.03 is: 1,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.77 : 1,610.14 = 798.03 : x
  2. Step 2: Convert to fraction form
    1,072.77/1,610.14 = 798.03/x
  3. Step 3: Cross multiply
    1,072.77x = 1,610.14 × 798.03
  4. Step 4: Simplify right side
    1,072.77x = 1,284,940.02
  5. Step 5: Solve for x
    x = 1,284,940.02/1,072.77
  6. Step 6: Final answer
    x = 1,197.78

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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.