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Finding the Fourth Proportional to 730.77, 1,097.24 and 719.97

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Solution

The fourth proportional to 730.77, 1,097.24 and 719.97 is: 1,081.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.77 : 1,097.24 = 719.97 : x
  2. Step 2: Convert to fraction form
    730.77/1,097.24 = 719.97/x
  3. Step 3: Cross multiply
    730.77x = 1,097.24 × 719.97
  4. Step 4: Simplify right side
    730.77x = 789,976.28
  5. Step 5: Solve for x
    x = 789,976.28/730.77
  6. Step 6: Final answer
    x = 1,081.02

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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.