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Finding the Fourth Proportional to 1,096.76, 1,641.63 and 768.11

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Solution

The fourth proportional to 1,096.76, 1,641.63 and 768.11 is: 1,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.76 : 1,641.63 = 768.11 : x
  2. Step 2: Convert to fraction form
    1,096.76/1,641.63 = 768.11/x
  3. Step 3: Cross multiply
    1,096.76x = 1,641.63 × 768.11
  4. Step 4: Simplify right side
    1,096.76x = 1,260,947.09
  5. Step 5: Solve for x
    x = 1,260,947.09/1,096.76
  6. Step 6: Final answer
    x = 1,149.70

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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.