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Finding the Fourth Proportional to 860.25, 1,188.22 and 847.29

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Solution

The fourth proportional to 860.25, 1,188.22 and 847.29 is: 1,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.25 : 1,188.22 = 847.29 : x
  2. Step 2: Convert to fraction form
    860.25/1,188.22 = 847.29/x
  3. Step 3: Cross multiply
    860.25x = 1,188.22 × 847.29
  4. Step 4: Simplify right side
    860.25x = 1,006,770.85
  5. Step 5: Solve for x
    x = 1,006,770.85/860.25
  6. Step 6: Final answer
    x = 1,170.32

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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.