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Finding the Fourth Proportional to 790.12, 1,183.74 and 405.80

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Solution

The fourth proportional to 790.12, 1,183.74 and 405.80 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.12 : 1,183.74 = 405.80 : x
  2. Step 2: Convert to fraction form
    790.12/1,183.74 = 405.80/x
  3. Step 3: Cross multiply
    790.12x = 1,183.74 × 405.80
  4. Step 4: Simplify right side
    790.12x = 480,361.69
  5. Step 5: Solve for x
    x = 480,361.69/790.12
  6. Step 6: Final answer
    x = 607.96

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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.