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Finding the Fourth Proportional to 790.83, 1,091.43 and 459.41

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Solution

The fourth proportional to 790.83, 1,091.43 and 459.41 is: 634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.83 : 1,091.43 = 459.41 : x
  2. Step 2: Convert to fraction form
    790.83/1,091.43 = 459.41/x
  3. Step 3: Cross multiply
    790.83x = 1,091.43 × 459.41
  4. Step 4: Simplify right side
    790.83x = 501,408.40
  5. Step 5: Solve for x
    x = 501,408.40/790.83
  6. Step 6: Final answer
    x = 634.03

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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.