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Finding the Fourth Proportional to 797.25, 1,196.46 and 284.25

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Solution

The fourth proportional to 797.25, 1,196.46 and 284.25 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.25 : 1,196.46 = 284.25 : x
  2. Step 2: Convert to fraction form
    797.25/1,196.46 = 284.25/x
  3. Step 3: Cross multiply
    797.25x = 1,196.46 × 284.25
  4. Step 4: Simplify right side
    797.25x = 340,093.76
  5. Step 5: Solve for x
    x = 340,093.76/797.25
  6. Step 6: Final answer
    x = 426.58

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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.