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Finding the Fourth Proportional to 851.26, 1,274.72 and 779.98

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Solution

The fourth proportional to 851.26, 1,274.72 and 779.98 is: 1,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.26 : 1,274.72 = 779.98 : x
  2. Step 2: Convert to fraction form
    851.26/1,274.72 = 779.98/x
  3. Step 3: Cross multiply
    851.26x = 1,274.72 × 779.98
  4. Step 4: Simplify right side
    851.26x = 994,256.11
  5. Step 5: Solve for x
    x = 994,256.11/851.26
  6. Step 6: Final answer
    x = 1,167.98

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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.