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Finding the Fourth Proportional to 797.34, 1,195.83 and 284.34

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Solution

The fourth proportional to 797.34, 1,195.83 and 284.34 is: 426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.34 : 1,195.83 = 284.34 : x
  2. Step 2: Convert to fraction form
    797.34/1,195.83 = 284.34/x
  3. Step 3: Cross multiply
    797.34x = 1,195.83 × 284.34
  4. Step 4: Simplify right side
    797.34x = 340,022.30
  5. Step 5: Solve for x
    x = 340,022.30/797.34
  6. Step 6: Final answer
    x = 426.45

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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.