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Finding the Fourth Proportional to 741.54, 1,023.21 and 493.23

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Solution

The fourth proportional to 741.54, 1,023.21 and 493.23 is: 680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.54 : 1,023.21 = 493.23 : x
  2. Step 2: Convert to fraction form
    741.54/1,023.21 = 493.23/x
  3. Step 3: Cross multiply
    741.54x = 1,023.21 × 493.23
  4. Step 4: Simplify right side
    741.54x = 504,677.87
  5. Step 5: Solve for x
    x = 504,677.87/741.54
  6. Step 6: Final answer
    x = 680.58

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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.