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Finding the Fourth Proportional to 863.10, 1,190.97 and 715.14

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Solution

The fourth proportional to 863.10, 1,190.97 and 715.14 is: 986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.10 : 1,190.97 = 715.14 : x
  2. Step 2: Convert to fraction form
    863.10/1,190.97 = 715.14/x
  3. Step 3: Cross multiply
    863.10x = 1,190.97 × 715.14
  4. Step 4: Simplify right side
    863.10x = 851,710.29
  5. Step 5: Solve for x
    x = 851,710.29/863.10
  6. Step 6: Final answer
    x = 986.80

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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.