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Finding the Fourth Proportional to 790.11, 1,183.95 and 378.84

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Solution

The fourth proportional to 790.11, 1,183.95 and 378.84 is: 567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.11 : 1,183.95 = 378.84 : x
  2. Step 2: Convert to fraction form
    790.11/1,183.95 = 378.84/x
  3. Step 3: Cross multiply
    790.11x = 1,183.95 × 378.84
  4. Step 4: Simplify right side
    790.11x = 448,527.62
  5. Step 5: Solve for x
    x = 448,527.62/790.11
  6. Step 6: Final answer
    x = 567.68

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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.