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Finding the Fourth Proportional to 666.66, 998.24 and 563.73

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Solution

The fourth proportional to 666.66, 998.24 and 563.73 is: 844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.66 : 998.24 = 563.73 : x
  2. Step 2: Convert to fraction form
    666.66/998.24 = 563.73/x
  3. Step 3: Cross multiply
    666.66x = 998.24 × 563.73
  4. Step 4: Simplify right side
    666.66x = 562,735.02
  5. Step 5: Solve for x
    x = 562,735.02/666.66
  6. Step 6: Final answer
    x = 844.11

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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.