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Finding the Fourth Proportional to 799.96, 1,199.16 and 312.52

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Solution

The fourth proportional to 799.96, 1,199.16 and 312.52 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.96 : 1,199.16 = 312.52 : x
  2. Step 2: Convert to fraction form
    799.96/1,199.16 = 312.52/x
  3. Step 3: Cross multiply
    799.96x = 1,199.16 × 312.52
  4. Step 4: Simplify right side
    799.96x = 374,761.48
  5. Step 5: Solve for x
    x = 374,761.48/799.96
  6. Step 6: Final answer
    x = 468.48

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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.