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Finding the Fourth Proportional to 799.37, 1,199.04 and 244.08

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Solution

The fourth proportional to 799.37, 1,199.04 and 244.08 is: 366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.37 : 1,199.04 = 244.08 : x
  2. Step 2: Convert to fraction form
    799.37/1,199.04 = 244.08/x
  3. Step 3: Cross multiply
    799.37x = 1,199.04 × 244.08
  4. Step 4: Simplify right side
    799.37x = 292,655.71
  5. Step 5: Solve for x
    x = 292,655.71/799.37
  6. Step 6: Final answer
    x = 366.11

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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.