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Finding the Fourth Proportional to 799.83, 1,200.08 and 252.05

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Solution

The fourth proportional to 799.83, 1,200.08 and 252.05 is: 378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.83 : 1,200.08 = 252.05 : x
  2. Step 2: Convert to fraction form
    799.83/1,200.08 = 252.05/x
  3. Step 3: Cross multiply
    799.83x = 1,200.08 × 252.05
  4. Step 4: Simplify right side
    799.83x = 302,474.79
  5. Step 5: Solve for x
    x = 302,474.79/799.83
  6. Step 6: Final answer
    x = 378.17

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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.