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Finding the Fourth Proportional to 863.70, 1,288.91 and 771.42

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Solution

The fourth proportional to 863.70, 1,288.91 and 771.42 is: 1,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.70 : 1,288.91 = 771.42 : x
  2. Step 2: Convert to fraction form
    863.70/1,288.91 = 771.42/x
  3. Step 3: Cross multiply
    863.70x = 1,288.91 × 771.42
  4. Step 4: Simplify right side
    863.70x = 994,297.71
  5. Step 5: Solve for x
    x = 994,297.71/863.70
  6. Step 6: Final answer
    x = 1,151.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.