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Finding the Fourth Proportional to 866.07, 1,299.09 and 829.62

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Solution

The fourth proportional to 866.07, 1,299.09 and 829.62 is: 1,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.07 : 1,299.09 = 829.62 : x
  2. Step 2: Convert to fraction form
    866.07/1,299.09 = 829.62/x
  3. Step 3: Cross multiply
    866.07x = 1,299.09 × 829.62
  4. Step 4: Simplify right side
    866.07x = 1,077,751.05
  5. Step 5: Solve for x
    x = 1,077,751.05/866.07
  6. Step 6: Final answer
    x = 1,244.42

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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.