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Finding the Fourth Proportional to 829.24, 1,239.90 and 809.80

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Solution

The fourth proportional to 829.24, 1,239.90 and 809.80 is: 1,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.24 : 1,239.90 = 809.80 : x
  2. Step 2: Convert to fraction form
    829.24/1,239.90 = 809.80/x
  3. Step 3: Cross multiply
    829.24x = 1,239.90 × 809.80
  4. Step 4: Simplify right side
    829.24x = 1,004,071.02
  5. Step 5: Solve for x
    x = 1,004,071.02/829.24
  6. Step 6: Final answer
    x = 1,210.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.