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Finding the Fourth Proportional to 940.78, 1,289.83 and 926.44

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Solution

The fourth proportional to 940.78, 1,289.83 and 926.44 is: 1,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.78 : 1,289.83 = 926.44 : x
  2. Step 2: Convert to fraction form
    940.78/1,289.83 = 926.44/x
  3. Step 3: Cross multiply
    940.78x = 1,289.83 × 926.44
  4. Step 4: Simplify right side
    940.78x = 1,194,950.11
  5. Step 5: Solve for x
    x = 1,194,950.11/940.78
  6. Step 6: Final answer
    x = 1,270.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.