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Finding the Fourth Proportional to 829.83, 1,243.88 and 309.61

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Solution

The fourth proportional to 829.83, 1,243.88 and 309.61 is: 464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.83 : 1,243.88 = 309.61 : x
  2. Step 2: Convert to fraction form
    829.83/1,243.88 = 309.61/x
  3. Step 3: Cross multiply
    829.83x = 1,243.88 × 309.61
  4. Step 4: Simplify right side
    829.83x = 385,120.02
  5. Step 5: Solve for x
    x = 385,120.02/829.83
  6. Step 6: Final answer
    x = 464.09

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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.