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Finding the Fourth Proportional to 853.09, 1,278.76 and 506.37

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Solution

The fourth proportional to 853.09, 1,278.76 and 506.37 is: 759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.09 : 1,278.76 = 506.37 : x
  2. Step 2: Convert to fraction form
    853.09/1,278.76 = 506.37/x
  3. Step 3: Cross multiply
    853.09x = 1,278.76 × 506.37
  4. Step 4: Simplify right side
    853.09x = 647,525.70
  5. Step 5: Solve for x
    x = 647,525.70/853.09
  6. Step 6: Final answer
    x = 759.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.