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Finding the Fourth Proportional to 1,213.88, 1,822.49 and 629.36

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Solution

The fourth proportional to 1,213.88, 1,822.49 and 629.36 is: 944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.88 : 1,822.49 = 629.36 : x
  2. Step 2: Convert to fraction form
    1,213.88/1,822.49 = 629.36/x
  3. Step 3: Cross multiply
    1,213.88x = 1,822.49 × 629.36
  4. Step 4: Simplify right side
    1,213.88x = 1,146,999.16
  5. Step 5: Solve for x
    x = 1,146,999.16/1,213.88
  6. Step 6: Final answer
    x = 944.90

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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.