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Finding the Fourth Proportional to 806.86, 1,118.69 and 779.86

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Solution

The fourth proportional to 806.86, 1,118.69 and 779.86 is: 1,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.86 : 1,118.69 = 779.86 : x
  2. Step 2: Convert to fraction form
    806.86/1,118.69 = 779.86/x
  3. Step 3: Cross multiply
    806.86x = 1,118.69 × 779.86
  4. Step 4: Simplify right side
    806.86x = 872,421.58
  5. Step 5: Solve for x
    x = 872,421.58/806.86
  6. Step 6: Final answer
    x = 1,081.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.