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Finding the Fourth Proportional to 899.75, 1,241.73 and 506.78

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Solution

The fourth proportional to 899.75, 1,241.73 and 506.78 is: 699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.75 : 1,241.73 = 506.78 : x
  2. Step 2: Convert to fraction form
    899.75/1,241.73 = 506.78/x
  3. Step 3: Cross multiply
    899.75x = 1,241.73 × 506.78
  4. Step 4: Simplify right side
    899.75x = 629,283.93
  5. Step 5: Solve for x
    x = 629,283.93/899.75
  6. Step 6: Final answer
    x = 699.40

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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.