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Finding the Fourth Proportional to 1,620.08, 2,430.84 and 799.08

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Solution

The fourth proportional to 1,620.08, 2,430.84 and 799.08 is: 1,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.08 : 2,430.84 = 799.08 : x
  2. Step 2: Convert to fraction form
    1,620.08/2,430.84 = 799.08/x
  3. Step 3: Cross multiply
    1,620.08x = 2,430.84 × 799.08
  4. Step 4: Simplify right side
    1,620.08x = 1,942,435.63
  5. Step 5: Solve for x
    x = 1,942,435.63/1,620.08
  6. Step 6: Final answer
    x = 1,198.98

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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.