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Finding the Fourth Proportional to 790.13, 1,183.66 and 481.22

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Solution

The fourth proportional to 790.13, 1,183.66 and 481.22 is: 720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.13 : 1,183.66 = 481.22 : x
  2. Step 2: Convert to fraction form
    790.13/1,183.66 = 481.22/x
  3. Step 3: Cross multiply
    790.13x = 1,183.66 × 481.22
  4. Step 4: Simplify right side
    790.13x = 569,596.70
  5. Step 5: Solve for x
    x = 569,596.70/790.13
  6. Step 6: Final answer
    x = 720.89

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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.