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Finding the Fourth Proportional to 1,375.16, 2,061.41 and 450.07

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Solution

The fourth proportional to 1,375.16, 2,061.41 and 450.07 is: 674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.16 : 2,061.41 = 450.07 : x
  2. Step 2: Convert to fraction form
    1,375.16/2,061.41 = 450.07/x
  3. Step 3: Cross multiply
    1,375.16x = 2,061.41 × 450.07
  4. Step 4: Simplify right side
    1,375.16x = 927,771.39
  5. Step 5: Solve for x
    x = 927,771.39/1,375.16
  6. Step 6: Final answer
    x = 674.67

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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.