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Finding the Fourth Proportional to 879.54, 1,213.69 and 580.79

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Solution

The fourth proportional to 879.54, 1,213.69 and 580.79 is: 801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.54 : 1,213.69 = 580.79 : x
  2. Step 2: Convert to fraction form
    879.54/1,213.69 = 580.79/x
  3. Step 3: Cross multiply
    879.54x = 1,213.69 × 580.79
  4. Step 4: Simplify right side
    879.54x = 704,899.02
  5. Step 5: Solve for x
    x = 704,899.02/879.54
  6. Step 6: Final answer
    x = 801.44

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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.