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Finding the Fourth Proportional to 829.63, 1,243.23 and 586.63

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Solution

The fourth proportional to 829.63, 1,243.23 and 586.63 is: 879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.63 : 1,243.23 = 586.63 : x
  2. Step 2: Convert to fraction form
    829.63/1,243.23 = 586.63/x
  3. Step 3: Cross multiply
    829.63x = 1,243.23 × 586.63
  4. Step 4: Simplify right side
    829.63x = 729,316.01
  5. Step 5: Solve for x
    x = 729,316.01/829.63
  6. Step 6: Final answer
    x = 879.09

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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.