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Finding the Fourth Proportional to 793.37, 1,188.53 and 445.65

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Solution

The fourth proportional to 793.37, 1,188.53 and 445.65 is: 667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.37 : 1,188.53 = 445.65 : x
  2. Step 2: Convert to fraction form
    793.37/1,188.53 = 445.65/x
  3. Step 3: Cross multiply
    793.37x = 1,188.53 × 445.65
  4. Step 4: Simplify right side
    793.37x = 529,666.17
  5. Step 5: Solve for x
    x = 529,666.17/793.37
  6. Step 6: Final answer
    x = 667.62

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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.