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Finding the Fourth Proportional to 741.96, 1,023.39 and 493.20

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Solution

The fourth proportional to 741.96, 1,023.39 and 493.20 is: 680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.96 : 1,023.39 = 493.20 : x
  2. Step 2: Convert to fraction form
    741.96/1,023.39 = 493.20/x
  3. Step 3: Cross multiply
    741.96x = 1,023.39 × 493.20
  4. Step 4: Simplify right side
    741.96x = 504,735.95
  5. Step 5: Solve for x
    x = 504,735.95/741.96
  6. Step 6: Final answer
    x = 680.27

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