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Finding the Fourth Proportional to 829.14, 1,144.44 and 580.88

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Solution

The fourth proportional to 829.14, 1,144.44 and 580.88 is: 801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.14 : 1,144.44 = 580.88 : x
  2. Step 2: Convert to fraction form
    829.14/1,144.44 = 580.88/x
  3. Step 3: Cross multiply
    829.14x = 1,144.44 × 580.88
  4. Step 4: Simplify right side
    829.14x = 664,776.59
  5. Step 5: Solve for x
    x = 664,776.59/829.14
  6. Step 6: Final answer
    x = 801.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.