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Finding the Fourth Proportional to 797.34, 1,195.74 and 364.26

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Solution

The fourth proportional to 797.34, 1,195.74 and 364.26 is: 546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.34 : 1,195.74 = 364.26 : x
  2. Step 2: Convert to fraction form
    797.34/1,195.74 = 364.26/x
  3. Step 3: Cross multiply
    797.34x = 1,195.74 × 364.26
  4. Step 4: Simplify right side
    797.34x = 435,560.25
  5. Step 5: Solve for x
    x = 435,560.25/797.34
  6. Step 6: Final answer
    x = 546.27

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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.