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Finding the Fourth Proportional to 779.56, 1,169.82 and 506.44

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Solution

The fourth proportional to 779.56, 1,169.82 and 506.44 is: 759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.56 : 1,169.82 = 506.44 : x
  2. Step 2: Convert to fraction form
    779.56/1,169.82 = 506.44/x
  3. Step 3: Cross multiply
    779.56x = 1,169.82 × 506.44
  4. Step 4: Simplify right side
    779.56x = 592,443.64
  5. Step 5: Solve for x
    x = 592,443.64/779.56
  6. Step 6: Final answer
    x = 759.97

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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.