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Finding the Fourth Proportional to 829.68, 1,243.97 and 329.02

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Solution

The fourth proportional to 829.68, 1,243.97 and 329.02 is: 493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.68 : 1,243.97 = 329.02 : x
  2. Step 2: Convert to fraction form
    829.68/1,243.97 = 329.02/x
  3. Step 3: Cross multiply
    829.68x = 1,243.97 × 329.02
  4. Step 4: Simplify right side
    829.68x = 409,295.10
  5. Step 5: Solve for x
    x = 409,295.10/829.68
  6. Step 6: Final answer
    x = 493.32

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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.