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Finding the Fourth Proportional to 1,294.37, 1,786.30 and 797.54

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Solution

The fourth proportional to 1,294.37, 1,786.30 and 797.54 is: 1,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.37 : 1,786.30 = 797.54 : x
  2. Step 2: Convert to fraction form
    1,294.37/1,786.30 = 797.54/x
  3. Step 3: Cross multiply
    1,294.37x = 1,786.30 × 797.54
  4. Step 4: Simplify right side
    1,294.37x = 1,424,634.78
  5. Step 5: Solve for x
    x = 1,424,634.78/1,294.37
  6. Step 6: Final answer
    x = 1,100.64

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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.