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Finding the Fourth Proportional to 1,328.34, 1,832.83 and 768.60

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Solution

The fourth proportional to 1,328.34, 1,832.83 and 768.60 is: 1,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.34 : 1,832.83 = 768.60 : x
  2. Step 2: Convert to fraction form
    1,328.34/1,832.83 = 768.60/x
  3. Step 3: Cross multiply
    1,328.34x = 1,832.83 × 768.60
  4. Step 4: Simplify right side
    1,328.34x = 1,408,713.14
  5. Step 5: Solve for x
    x = 1,408,713.14/1,328.34
  6. Step 6: Final answer
    x = 1,060.51

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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.