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Finding the Fourth Proportional to 1,323, 1,985.49 and 629.88

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Solution

The fourth proportional to 1,323, 1,985.49 and 629.88 is: 945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323 : 1,985.49 = 629.88 : x
  2. Step 2: Convert to fraction form
    1,323/1,985.49 = 629.88/x
  3. Step 3: Cross multiply
    1,323x = 1,985.49 × 629.88
  4. Step 4: Simplify right side
    1,323x = 1,250,620.44
  5. Step 5: Solve for x
    x = 1,250,620.44/1,323
  6. Step 6: Final answer
    x = 945.29

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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.