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Finding the Fourth Proportional to 797.31, 1,097.96 and 758.43

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Solution

The fourth proportional to 797.31, 1,097.96 and 758.43 is: 1,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.31 : 1,097.96 = 758.43 : x
  2. Step 2: Convert to fraction form
    797.31/1,097.96 = 758.43/x
  3. Step 3: Cross multiply
    797.31x = 1,097.96 × 758.43
  4. Step 4: Simplify right side
    797.31x = 832,722.01
  5. Step 5: Solve for x
    x = 832,722.01/797.31
  6. Step 6: Final answer
    x = 1,044.41

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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.