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Finding the Fourth Proportional to 763.23, 1,144.46 and 543.73

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Solution

The fourth proportional to 763.23, 1,144.46 and 543.73 is: 815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.23 : 1,144.46 = 543.73 : x
  2. Step 2: Convert to fraction form
    763.23/1,144.46 = 543.73/x
  3. Step 3: Cross multiply
    763.23x = 1,144.46 × 543.73
  4. Step 4: Simplify right side
    763.23x = 622,277.24
  5. Step 5: Solve for x
    x = 622,277.24/763.23
  6. Step 6: Final answer
    x = 815.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.