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Finding the Fourth Proportional to 879.30, 1,213.39 and 564.58

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Solution

The fourth proportional to 879.30, 1,213.39 and 564.58 is: 779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.30 : 1,213.39 = 564.58 : x
  2. Step 2: Convert to fraction form
    879.30/1,213.39 = 564.58/x
  3. Step 3: Cross multiply
    879.30x = 1,213.39 × 564.58
  4. Step 4: Simplify right side
    879.30x = 685,051.28
  5. Step 5: Solve for x
    x = 685,051.28/879.30
  6. Step 6: Final answer
    x = 779.09

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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.