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Finding the Fourth Proportional to 879.44, 1,212.53 and 564.18

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Solution

The fourth proportional to 879.44, 1,212.53 and 564.18 is: 777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.44 : 1,212.53 = 564.18 : x
  2. Step 2: Convert to fraction form
    879.44/1,212.53 = 564.18/x
  3. Step 3: Cross multiply
    879.44x = 1,212.53 × 564.18
  4. Step 4: Simplify right side
    879.44x = 684,082.35
  5. Step 5: Solve for x
    x = 684,082.35/879.44
  6. Step 6: Final answer
    x = 777.87

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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.