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Finding the Fourth Proportional to 1,384.26, 1,910.07 and 794.68

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Solution

The fourth proportional to 1,384.26, 1,910.07 and 794.68 is: 1,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.26 : 1,910.07 = 794.68 : x
  2. Step 2: Convert to fraction form
    1,384.26/1,910.07 = 794.68/x
  3. Step 3: Cross multiply
    1,384.26x = 1,910.07 × 794.68
  4. Step 4: Simplify right side
    1,384.26x = 1,517,894.43
  5. Step 5: Solve for x
    x = 1,517,894.43/1,384.26
  6. Step 6: Final answer
    x = 1,096.54

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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.