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Finding the Fourth Proportional to 744.46, 1,114.60 and 377.44

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Solution

The fourth proportional to 744.46, 1,114.60 and 377.44 is: 565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.46 : 1,114.60 = 377.44 : x
  2. Step 2: Convert to fraction form
    744.46/1,114.60 = 377.44/x
  3. Step 3: Cross multiply
    744.46x = 1,114.60 × 377.44
  4. Step 4: Simplify right side
    744.46x = 420,694.62
  5. Step 5: Solve for x
    x = 420,694.62/744.46
  6. Step 6: Final answer
    x = 565.10

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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.