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Finding the Fourth Proportional to 879.33, 1,205.77 and 848.42

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Solution

The fourth proportional to 879.33, 1,205.77 and 848.42 is: 1,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.33 : 1,205.77 = 848.42 : x
  2. Step 2: Convert to fraction form
    879.33/1,205.77 = 848.42/x
  3. Step 3: Cross multiply
    879.33x = 1,205.77 × 848.42
  4. Step 4: Simplify right side
    879.33x = 1,022,991.23
  5. Step 5: Solve for x
    x = 1,022,991.23/879.33
  6. Step 6: Final answer
    x = 1,163.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.