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Finding the Fourth Proportional to 899.67, 1,241.46 and 506.73

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Solution

The fourth proportional to 899.67, 1,241.46 and 506.73 is: 699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.67 : 1,241.46 = 506.73 : x
  2. Step 2: Convert to fraction form
    899.67/1,241.46 = 506.73/x
  3. Step 3: Cross multiply
    899.67x = 1,241.46 × 506.73
  4. Step 4: Simplify right side
    899.67x = 629,085.03
  5. Step 5: Solve for x
    x = 629,085.03/899.67
  6. Step 6: Final answer
    x = 699.24

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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.