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Finding the Fourth Proportional to 879.23, 1,213.02 and 564.47

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Solution

The fourth proportional to 879.23, 1,213.02 and 564.47 is: 778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.23 : 1,213.02 = 564.47 : x
  2. Step 2: Convert to fraction form
    879.23/1,213.02 = 564.47/x
  3. Step 3: Cross multiply
    879.23x = 1,213.02 × 564.47
  4. Step 4: Simplify right side
    879.23x = 684,707.33
  5. Step 5: Solve for x
    x = 684,707.33/879.23
  6. Step 6: Final answer
    x = 778.76

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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.