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Finding the Fourth Proportional to 993.23, 1,370.38 and 594.73

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Solution

The fourth proportional to 993.23, 1,370.38 and 594.73 is: 820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.23 : 1,370.38 = 594.73 : x
  2. Step 2: Convert to fraction form
    993.23/1,370.38 = 594.73/x
  3. Step 3: Cross multiply
    993.23x = 1,370.38 × 594.73
  4. Step 4: Simplify right side
    993.23x = 814,996.27
  5. Step 5: Solve for x
    x = 814,996.27/993.23
  6. Step 6: Final answer
    x = 820.56

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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.