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Finding the Fourth Proportional to 853.57, 1,279.75 and 506.08

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Solution

The fourth proportional to 853.57, 1,279.75 and 506.08 is: 758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.57 : 1,279.75 = 506.08 : x
  2. Step 2: Convert to fraction form
    853.57/1,279.75 = 506.08/x
  3. Step 3: Cross multiply
    853.57x = 1,279.75 × 506.08
  4. Step 4: Simplify right side
    853.57x = 647,657.16
  5. Step 5: Solve for x
    x = 647,657.16/853.57
  6. Step 6: Final answer
    x = 758.76

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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.