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Finding the Fourth Proportional to 829.69, 1,244.45 and 520.62

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Solution

The fourth proportional to 829.69, 1,244.45 and 520.62 is: 780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.69 : 1,244.45 = 520.62 : x
  2. Step 2: Convert to fraction form
    829.69/1,244.45 = 520.62/x
  3. Step 3: Cross multiply
    829.69x = 1,244.45 × 520.62
  4. Step 4: Simplify right side
    829.69x = 647,887.62
  5. Step 5: Solve for x
    x = 647,887.62/829.69
  6. Step 6: Final answer
    x = 780.88

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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.