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Finding the Fourth Proportional to 790.19, 1,092.42 and 593.36

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Solution

The fourth proportional to 790.19, 1,092.42 and 593.36 is: 820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.19 : 1,092.42 = 593.36 : x
  2. Step 2: Convert to fraction form
    790.19/1,092.42 = 593.36/x
  3. Step 3: Cross multiply
    790.19x = 1,092.42 × 593.36
  4. Step 4: Simplify right side
    790.19x = 648,198.33
  5. Step 5: Solve for x
    x = 648,198.33/790.19
  6. Step 6: Final answer
    x = 820.31

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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.