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Finding the Fourth Proportional to 829.12, 1,242.96 and 482.80

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Solution

The fourth proportional to 829.12, 1,242.96 and 482.80 is: 723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.12 : 1,242.96 = 482.80 : x
  2. Step 2: Convert to fraction form
    829.12/1,242.96 = 482.80/x
  3. Step 3: Cross multiply
    829.12x = 1,242.96 × 482.80
  4. Step 4: Simplify right side
    829.12x = 600,101.09
  5. Step 5: Solve for x
    x = 600,101.09/829.12
  6. Step 6: Final answer
    x = 723.78

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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.