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Finding the Fourth Proportional to 899.50, 1,241.10 and 506.44

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Solution

The fourth proportional to 899.50, 1,241.10 and 506.44 is: 698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.50 : 1,241.10 = 506.44 : x
  2. Step 2: Convert to fraction form
    899.50/1,241.10 = 506.44/x
  3. Step 3: Cross multiply
    899.50x = 1,241.10 × 506.44
  4. Step 4: Simplify right side
    899.50x = 628,542.68
  5. Step 5: Solve for x
    x = 628,542.68/899.50
  6. Step 6: Final answer
    x = 698.77

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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.