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Finding the Fourth Proportional to 1,379.74, 2,069.70 and 513.76

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Solution

The fourth proportional to 1,379.74, 2,069.70 and 513.76 is: 770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.74 : 2,069.70 = 513.76 : x
  2. Step 2: Convert to fraction form
    1,379.74/2,069.70 = 513.76/x
  3. Step 3: Cross multiply
    1,379.74x = 2,069.70 × 513.76
  4. Step 4: Simplify right side
    1,379.74x = 1,063,329.07
  5. Step 5: Solve for x
    x = 1,063,329.07/1,379.74
  6. Step 6: Final answer
    x = 770.67

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