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Finding the Fourth Proportional to 1,328.00, 1,832.94 and 768.79

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Solution

The fourth proportional to 1,328.00, 1,832.94 and 768.79 is: 1,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.00 : 1,832.94 = 768.79 : x
  2. Step 2: Convert to fraction form
    1,328.00/1,832.94 = 768.79/x
  3. Step 3: Cross multiply
    1,328.00x = 1,832.94 × 768.79
  4. Step 4: Simplify right side
    1,328.00x = 1,409,149.31
  5. Step 5: Solve for x
    x = 1,409,149.31/1,328.00
  6. Step 6: Final answer
    x = 1,061.11

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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.