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Finding the Fourth Proportional to 799.76, 1,199.57 and 305.96

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Solution

The fourth proportional to 799.76, 1,199.57 and 305.96 is: 458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.76 : 1,199.57 = 305.96 : x
  2. Step 2: Convert to fraction form
    799.76/1,199.57 = 305.96/x
  3. Step 3: Cross multiply
    799.76x = 1,199.57 × 305.96
  4. Step 4: Simplify right side
    799.76x = 367,012.91
  5. Step 5: Solve for x
    x = 367,012.91/799.76
  6. Step 6: Final answer
    x = 458.91

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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.