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Finding the Fourth Proportional to 665.44, 994.88 and 563.86

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Solution

The fourth proportional to 665.44, 994.88 and 563.86 is: 843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 994.88 = 563.86 : x
  2. Step 2: Convert to fraction form
    665.44/994.88 = 563.86/x
  3. Step 3: Cross multiply
    665.44x = 994.88 × 563.86
  4. Step 4: Simplify right side
    665.44x = 560,970.22
  5. Step 5: Solve for x
    x = 560,970.22/665.44
  6. Step 6: Final answer
    x = 843.01

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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.