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Finding the Fourth Proportional to 799.54, 1,199.46 and 312.56

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Solution

The fourth proportional to 799.54, 1,199.46 and 312.56 is: 468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.54 : 1,199.46 = 312.56 : x
  2. Step 2: Convert to fraction form
    799.54/1,199.46 = 312.56/x
  3. Step 3: Cross multiply
    799.54x = 1,199.46 × 312.56
  4. Step 4: Simplify right side
    799.54x = 374,903.22
  5. Step 5: Solve for x
    x = 374,903.22/799.54
  6. Step 6: Final answer
    x = 468.90

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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.