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Finding the Fourth Proportional to 872.78, 1,309.16 and 563.86

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Solution

The fourth proportional to 872.78, 1,309.16 and 563.86 is: 845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.78 : 1,309.16 = 563.86 : x
  2. Step 2: Convert to fraction form
    872.78/1,309.16 = 563.86/x
  3. Step 3: Cross multiply
    872.78x = 1,309.16 × 563.86
  4. Step 4: Simplify right side
    872.78x = 738,186.00
  5. Step 5: Solve for x
    x = 738,186.00/872.78
  6. Step 6: Final answer
    x = 845.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.