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Finding the Fourth Proportional to 912.87, 1,369.71 and 766.26

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Solution

The fourth proportional to 912.87, 1,369.71 and 766.26 is: 1,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.87 : 1,369.71 = 766.26 : x
  2. Step 2: Convert to fraction form
    912.87/1,369.71 = 766.26/x
  3. Step 3: Cross multiply
    912.87x = 1,369.71 × 766.26
  4. Step 4: Simplify right side
    912.87x = 1,049,553.98
  5. Step 5: Solve for x
    x = 1,049,553.98/912.87
  6. Step 6: Final answer
    x = 1,149.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.