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Finding the Fourth Proportional to 1,179.06, 1,627.86 and 806.70

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Solution

The fourth proportional to 1,179.06, 1,627.86 and 806.70 is: 1,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.06 : 1,627.86 = 806.70 : x
  2. Step 2: Convert to fraction form
    1,179.06/1,627.86 = 806.70/x
  3. Step 3: Cross multiply
    1,179.06x = 1,627.86 × 806.70
  4. Step 4: Simplify right side
    1,179.06x = 1,313,194.66
  5. Step 5: Solve for x
    x = 1,313,194.66/1,179.06
  6. Step 6: Final answer
    x = 1,113.76

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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.