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Finding the Fourth Proportional to 899.79, 1,241.64 and 506.73

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Solution

The fourth proportional to 899.79, 1,241.64 and 506.73 is: 699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.79 : 1,241.64 = 506.73 : x
  2. Step 2: Convert to fraction form
    899.79/1,241.64 = 506.73/x
  3. Step 3: Cross multiply
    899.79x = 1,241.64 × 506.73
  4. Step 4: Simplify right side
    899.79x = 629,176.24
  5. Step 5: Solve for x
    x = 629,176.24/899.79
  6. Step 6: Final answer
    x = 699.25

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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.