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Finding the Fourth Proportional to 863.70, 1,190.85 and 675.54

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Solution

The fourth proportional to 863.70, 1,190.85 and 675.54 is: 931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.70 : 1,190.85 = 675.54 : x
  2. Step 2: Convert to fraction form
    863.70/1,190.85 = 675.54/x
  3. Step 3: Cross multiply
    863.70x = 1,190.85 × 675.54
  4. Step 4: Simplify right side
    863.70x = 804,466.81
  5. Step 5: Solve for x
    x = 804,466.81/863.70
  6. Step 6: Final answer
    x = 931.42

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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.