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Finding the Fourth Proportional to 1,110.65, 1,666.04 and 380.43

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Solution

The fourth proportional to 1,110.65, 1,666.04 and 380.43 is: 570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.65 : 1,666.04 = 380.43 : x
  2. Step 2: Convert to fraction form
    1,110.65/1,666.04 = 380.43/x
  3. Step 3: Cross multiply
    1,110.65x = 1,666.04 × 380.43
  4. Step 4: Simplify right side
    1,110.65x = 633,809.70
  5. Step 5: Solve for x
    x = 633,809.70/1,110.65
  6. Step 6: Final answer
    x = 570.67

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