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Finding the Fourth Proportional to 868.95, 1,198.31 and 776.61

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Solution

The fourth proportional to 868.95, 1,198.31 and 776.61 is: 1,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.95 : 1,198.31 = 776.61 : x
  2. Step 2: Convert to fraction form
    868.95/1,198.31 = 776.61/x
  3. Step 3: Cross multiply
    868.95x = 1,198.31 × 776.61
  4. Step 4: Simplify right side
    868.95x = 930,615.65
  5. Step 5: Solve for x
    x = 930,615.65/868.95
  6. Step 6: Final answer
    x = 1,070.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.