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Finding the Fourth Proportional to 1,166.46, 1,608.81 and 768.78

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Solution

The fourth proportional to 1,166.46, 1,608.81 and 768.78 is: 1,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.46 : 1,608.81 = 768.78 : x
  2. Step 2: Convert to fraction form
    1,166.46/1,608.81 = 768.78/x
  3. Step 3: Cross multiply
    1,166.46x = 1,608.81 × 768.78
  4. Step 4: Simplify right side
    1,166.46x = 1,236,820.95
  5. Step 5: Solve for x
    x = 1,236,820.95/1,166.46
  6. Step 6: Final answer
    x = 1,060.32

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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.