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Finding the Fourth Proportional to 879.73, 1,213.71 and 564.97

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Solution

The fourth proportional to 879.73, 1,213.71 and 564.97 is: 779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.73 : 1,213.71 = 564.97 : x
  2. Step 2: Convert to fraction form
    879.73/1,213.71 = 564.97/x
  3. Step 3: Cross multiply
    879.73x = 1,213.71 × 564.97
  4. Step 4: Simplify right side
    879.73x = 685,703.67
  5. Step 5: Solve for x
    x = 685,703.67/879.73
  6. Step 6: Final answer
    x = 779.45

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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.