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Finding the Fourth Proportional to 790.86, 1,091.46 and 441.66

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Solution

The fourth proportional to 790.86, 1,091.46 and 441.66 is: 609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.86 : 1,091.46 = 441.66 : x
  2. Step 2: Convert to fraction form
    790.86/1,091.46 = 441.66/x
  3. Step 3: Cross multiply
    790.86x = 1,091.46 × 441.66
  4. Step 4: Simplify right side
    790.86x = 482,054.22
  5. Step 5: Solve for x
    x = 482,054.22/790.86
  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.