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Finding the Fourth Proportional to 829.96, 1,244.46 and 505.54

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Solution

The fourth proportional to 829.96, 1,244.46 and 505.54 is: 758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.96 : 1,244.46 = 505.54 : x
  2. Step 2: Convert to fraction form
    829.96/1,244.46 = 505.54/x
  3. Step 3: Cross multiply
    829.96x = 1,244.46 × 505.54
  4. Step 4: Simplify right side
    829.96x = 629,124.31
  5. Step 5: Solve for x
    x = 629,124.31/829.96
  6. Step 6: Final answer
    x = 758.02

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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.