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Finding the Fourth Proportional to 764.64, 1,144.94 and 544.73

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Solution

The fourth proportional to 764.64, 1,144.94 and 544.73 is: 815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.64 : 1,144.94 = 544.73 : x
  2. Step 2: Convert to fraction form
    764.64/1,144.94 = 544.73/x
  3. Step 3: Cross multiply
    764.64x = 1,144.94 × 544.73
  4. Step 4: Simplify right side
    764.64x = 623,674.72
  5. Step 5: Solve for x
    x = 623,674.72/764.64
  6. Step 6: Final answer
    x = 815.64

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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.