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Finding the Fourth Proportional to 1,401.33, 1,933.89 and 812.06

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Solution

The fourth proportional to 1,401.33, 1,933.89 and 812.06 is: 1,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.33 : 1,933.89 = 812.06 : x
  2. Step 2: Convert to fraction form
    1,401.33/1,933.89 = 812.06/x
  3. Step 3: Cross multiply
    1,401.33x = 1,933.89 × 812.06
  4. Step 4: Simplify right side
    1,401.33x = 1,570,425.04
  5. Step 5: Solve for x
    x = 1,570,425.04/1,401.33
  6. Step 6: Final answer
    x = 1,120.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.