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Finding the Fourth Proportional to 666.44, 998.57 and 504.44

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Solution

The fourth proportional to 666.44, 998.57 and 504.44 is: 755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.44 : 998.57 = 504.44 : x
  2. Step 2: Convert to fraction form
    666.44/998.57 = 504.44/x
  3. Step 3: Cross multiply
    666.44x = 998.57 × 504.44
  4. Step 4: Simplify right side
    666.44x = 503,714.92
  5. Step 5: Solve for x
    x = 503,714.92/666.44
  6. Step 6: Final answer
    x = 755.84

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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.