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Finding the Fourth Proportional to 797.52, 1,196.28 and 284.52

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Solution

The fourth proportional to 797.52, 1,196.28 and 284.52 is: 426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.52 : 1,196.28 = 284.52 : x
  2. Step 2: Convert to fraction form
    797.52/1,196.28 = 284.52/x
  3. Step 3: Cross multiply
    797.52x = 1,196.28 × 284.52
  4. Step 4: Simplify right side
    797.52x = 340,365.59
  5. Step 5: Solve for x
    x = 340,365.59/797.52
  6. Step 6: Final answer
    x = 426.78

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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.