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Finding the Fourth Proportional to 793.80, 1,097.94 and 701.80

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Solution

The fourth proportional to 793.80, 1,097.94 and 701.80 is: 970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.80 : 1,097.94 = 701.80 : x
  2. Step 2: Convert to fraction form
    793.80/1,097.94 = 701.80/x
  3. Step 3: Cross multiply
    793.80x = 1,097.94 × 701.80
  4. Step 4: Simplify right side
    793.80x = 770,534.29
  5. Step 5: Solve for x
    x = 770,534.29/793.80
  6. Step 6: Final answer
    x = 970.69

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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.