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Finding the Fourth Proportional to 879.05, 1,212.96 and 564.74

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Solution

The fourth proportional to 879.05, 1,212.96 and 564.74 is: 779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.05 : 1,212.96 = 564.74 : x
  2. Step 2: Convert to fraction form
    879.05/1,212.96 = 564.74/x
  3. Step 3: Cross multiply
    879.05x = 1,212.96 × 564.74
  4. Step 4: Simplify right side
    879.05x = 685,010.06
  5. Step 5: Solve for x
    x = 685,010.06/879.05
  6. Step 6: Final answer
    x = 779.27

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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.