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Finding the Fourth Proportional to 829.02, 1,143.99 and 455.97

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Solution

The fourth proportional to 829.02, 1,143.99 and 455.97 is: 629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.02 : 1,143.99 = 455.97 : x
  2. Step 2: Convert to fraction form
    829.02/1,143.99 = 455.97/x
  3. Step 3: Cross multiply
    829.02x = 1,143.99 × 455.97
  4. Step 4: Simplify right side
    829.02x = 521,625.12
  5. Step 5: Solve for x
    x = 521,625.12/829.02
  6. Step 6: Final answer
    x = 629.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.