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Finding the Fourth Proportional to 863.82, 1,190.34 and 614.70

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Solution

The fourth proportional to 863.82, 1,190.34 and 614.70 is: 847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.82 : 1,190.34 = 614.70 : x
  2. Step 2: Convert to fraction form
    863.82/1,190.34 = 614.70/x
  3. Step 3: Cross multiply
    863.82x = 1,190.34 × 614.70
  4. Step 4: Simplify right side
    863.82x = 731,702.00
  5. Step 5: Solve for x
    x = 731,702.00/863.82
  6. Step 6: Final answer
    x = 847.05

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