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Finding the Fourth Proportional to 792.56, 1,190.16 and 754.64

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Solution

The fourth proportional to 792.56, 1,190.16 and 754.64 is: 1,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.56 : 1,190.16 = 754.64 : x
  2. Step 2: Convert to fraction form
    792.56/1,190.16 = 754.64/x
  3. Step 3: Cross multiply
    792.56x = 1,190.16 × 754.64
  4. Step 4: Simplify right side
    792.56x = 898,142.34
  5. Step 5: Solve for x
    x = 898,142.34/792.56
  6. Step 6: Final answer
    x = 1,133.22

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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.