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Finding the Fourth Proportional to 799.83, 1,199.07 and 313.22

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Solution

The fourth proportional to 799.83, 1,199.07 and 313.22 is: 469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.83 : 1,199.07 = 313.22 : x
  2. Step 2: Convert to fraction form
    799.83/1,199.07 = 313.22/x
  3. Step 3: Cross multiply
    799.83x = 1,199.07 × 313.22
  4. Step 4: Simplify right side
    799.83x = 375,575.70
  5. Step 5: Solve for x
    x = 375,575.70/799.83
  6. Step 6: Final answer
    x = 469.57

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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.