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Finding the Fourth Proportional to 1,794.22, 2,689.88 and 768.94

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Solution

The fourth proportional to 1,794.22, 2,689.88 and 768.94 is: 1,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.22 : 2,689.88 = 768.94 : x
  2. Step 2: Convert to fraction form
    1,794.22/2,689.88 = 768.94/x
  3. Step 3: Cross multiply
    1,794.22x = 2,689.88 × 768.94
  4. Step 4: Simplify right side
    1,794.22x = 2,068,356.33
  5. Step 5: Solve for x
    x = 2,068,356.33/1,794.22
  6. Step 6: Final answer
    x = 1,152.79

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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.