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Finding the Fourth Proportional to 799.72, 1,199.12 and 312.21

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Solution

The fourth proportional to 799.72, 1,199.12 and 312.21 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.72 : 1,199.12 = 312.21 : x
  2. Step 2: Convert to fraction form
    799.72/1,199.12 = 312.21/x
  3. Step 3: Cross multiply
    799.72x = 1,199.12 × 312.21
  4. Step 4: Simplify right side
    799.72x = 374,377.26
  5. Step 5: Solve for x
    x = 374,377.26/799.72
  6. Step 6: Final answer
    x = 468.14

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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.