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Finding the Fourth Proportional to 879.70, 1,213.45 and 580.95

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Solution

The fourth proportional to 879.70, 1,213.45 and 580.95 is: 801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.70 : 1,213.45 = 580.95 : x
  2. Step 2: Convert to fraction form
    879.70/1,213.45 = 580.95/x
  3. Step 3: Cross multiply
    879.70x = 1,213.45 × 580.95
  4. Step 4: Simplify right side
    879.70x = 704,951.04
  5. Step 5: Solve for x
    x = 704,951.04/879.70
  6. Step 6: Final answer
    x = 801.36

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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.