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Finding the Fourth Proportional to 817.83, 1,226.80 and 270.02

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Solution

The fourth proportional to 817.83, 1,226.80 and 270.02 is: 405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.83 : 1,226.80 = 270.02 : x
  2. Step 2: Convert to fraction form
    817.83/1,226.80 = 270.02/x
  3. Step 3: Cross multiply
    817.83x = 1,226.80 × 270.02
  4. Step 4: Simplify right side
    817.83x = 331,260.54
  5. Step 5: Solve for x
    x = 331,260.54/817.83
  6. Step 6: Final answer
    x = 405.05

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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.