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Finding the Fourth Proportional to 792.09, 1,186.31 and 764.76

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Solution

The fourth proportional to 792.09, 1,186.31 and 764.76 is: 1,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.09 : 1,186.31 = 764.76 : x
  2. Step 2: Convert to fraction form
    792.09/1,186.31 = 764.76/x
  3. Step 3: Cross multiply
    792.09x = 1,186.31 × 764.76
  4. Step 4: Simplify right side
    792.09x = 907,242.44
  5. Step 5: Solve for x
    x = 907,242.44/792.09
  6. Step 6: Final answer
    x = 1,145.38

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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.