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Finding the Fourth Proportional to 797.51, 1,196.26 and 277.90

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Solution

The fourth proportional to 797.51, 1,196.26 and 277.90 is: 416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.51 : 1,196.26 = 277.90 : x
  2. Step 2: Convert to fraction form
    797.51/1,196.26 = 277.90/x
  3. Step 3: Cross multiply
    797.51x = 1,196.26 × 277.90
  4. Step 4: Simplify right side
    797.51x = 332,436.97
  5. Step 5: Solve for x
    x = 332,436.97/797.51
  6. Step 6: Final answer
    x = 416.84

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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.