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Finding the Fourth Proportional to 778.86, 1,162.26 and 697.14

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Solution

The fourth proportional to 778.86, 1,162.26 and 697.14 is: 1,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.86 : 1,162.26 = 697.14 : x
  2. Step 2: Convert to fraction form
    778.86/1,162.26 = 697.14/x
  3. Step 3: Cross multiply
    778.86x = 1,162.26 × 697.14
  4. Step 4: Simplify right side
    778.86x = 810,257.94
  5. Step 5: Solve for x
    x = 810,257.94/778.86
  6. Step 6: Final answer
    x = 1,040.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.