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Finding the Fourth Proportional to 899.09, 1,240.73 and 506.11

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Solution

The fourth proportional to 899.09, 1,240.73 and 506.11 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.09 : 1,240.73 = 506.11 : x
  2. Step 2: Convert to fraction form
    899.09/1,240.73 = 506.11/x
  3. Step 3: Cross multiply
    899.09x = 1,240.73 × 506.11
  4. Step 4: Simplify right side
    899.09x = 627,945.86
  5. Step 5: Solve for x
    x = 627,945.86/899.09
  6. Step 6: Final answer
    x = 698.42

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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.