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Finding the Fourth Proportional to 829.63, 1,244.13 and 309.61

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Solution

The fourth proportional to 829.63, 1,244.13 and 309.61 is: 464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.63 : 1,244.13 = 309.61 : x
  2. Step 2: Convert to fraction form
    829.63/1,244.13 = 309.61/x
  3. Step 3: Cross multiply
    829.63x = 1,244.13 × 309.61
  4. Step 4: Simplify right side
    829.63x = 385,195.09
  5. Step 5: Solve for x
    x = 385,195.09/829.63
  6. Step 6: Final answer
    x = 464.30

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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.