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Finding the Fourth Proportional to 794.37, 1,196.58 and 734.22

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Solution

The fourth proportional to 794.37, 1,196.58 and 734.22 is: 1,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.37 : 1,196.58 = 734.22 : x
  2. Step 2: Convert to fraction form
    794.37/1,196.58 = 734.22/x
  3. Step 3: Cross multiply
    794.37x = 1,196.58 × 734.22
  4. Step 4: Simplify right side
    794.37x = 878,552.97
  5. Step 5: Solve for x
    x = 878,552.97/794.37
  6. Step 6: Final answer
    x = 1,105.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.