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Finding the Fourth Proportional to 860.11, 1,188.16 and 766.82

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Solution

The fourth proportional to 860.11, 1,188.16 and 766.82 is: 1,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.11 : 1,188.16 = 766.82 : x
  2. Step 2: Convert to fraction form
    860.11/1,188.16 = 766.82/x
  3. Step 3: Cross multiply
    860.11x = 1,188.16 × 766.82
  4. Step 4: Simplify right side
    860.11x = 911,098.14
  5. Step 5: Solve for x
    x = 911,098.14/860.11
  6. Step 6: Final answer
    x = 1,059.29

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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.