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Finding the Fourth Proportional to 899.20, 1,240.82 and 506.20

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Solution

The fourth proportional to 899.20, 1,240.82 and 506.20 is: 698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.20 : 1,240.82 = 506.20 : x
  2. Step 2: Convert to fraction form
    899.20/1,240.82 = 506.20/x
  3. Step 3: Cross multiply
    899.20x = 1,240.82 × 506.20
  4. Step 4: Simplify right side
    899.20x = 628,103.08
  5. Step 5: Solve for x
    x = 628,103.08/899.20
  6. Step 6: Final answer
    x = 698.51

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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.