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Finding the Fourth Proportional to 790.99, 1,091.61 and 441.67

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Solution

The fourth proportional to 790.99, 1,091.61 and 441.67 is: 609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.99 : 1,091.61 = 441.67 : x
  2. Step 2: Convert to fraction form
    790.99/1,091.61 = 441.67/x
  3. Step 3: Cross multiply
    790.99x = 1,091.61 × 441.67
  4. Step 4: Simplify right side
    790.99x = 482,131.39
  5. Step 5: Solve for x
    x = 482,131.39/790.99
  6. Step 6: Final answer
    x = 609.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.