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Finding the Fourth Proportional to 1,233.47, 1,701.78 and 879.44

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Solution

The fourth proportional to 1,233.47, 1,701.78 and 879.44 is: 1,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.47 : 1,701.78 = 879.44 : x
  2. Step 2: Convert to fraction form
    1,233.47/1,701.78 = 879.44/x
  3. Step 3: Cross multiply
    1,233.47x = 1,701.78 × 879.44
  4. Step 4: Simplify right side
    1,233.47x = 1,496,604.89
  5. Step 5: Solve for x
    x = 1,496,604.89/1,233.47
  6. Step 6: Final answer
    x = 1,213.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.