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Finding the Fourth Proportional to 927.37, 1,391.12 and 764.56

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Solution

The fourth proportional to 927.37, 1,391.12 and 764.56 is: 1,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.37 : 1,391.12 = 764.56 : x
  2. Step 2: Convert to fraction form
    927.37/1,391.12 = 764.56/x
  3. Step 3: Cross multiply
    927.37x = 1,391.12 × 764.56
  4. Step 4: Simplify right side
    927.37x = 1,063,594.71
  5. Step 5: Solve for x
    x = 1,063,594.71/927.37
  6. Step 6: Final answer
    x = 1,146.89

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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.