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Finding the Fourth Proportional to 1,446.23, 1,995.81 and 783.09

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Solution

The fourth proportional to 1,446.23, 1,995.81 and 783.09 is: 1,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.23 : 1,995.81 = 783.09 : x
  2. Step 2: Convert to fraction form
    1,446.23/1,995.81 = 783.09/x
  3. Step 3: Cross multiply
    1,446.23x = 1,995.81 × 783.09
  4. Step 4: Simplify right side
    1,446.23x = 1,562,898.05
  5. Step 5: Solve for x
    x = 1,562,898.05/1,446.23
  6. Step 6: Final answer
    x = 1,080.67

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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.