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Finding the Fourth Proportional to 1,385.43, 1,912.61 and 1,069.99

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Solution

The fourth proportional to 1,385.43, 1,912.61 and 1,069.99 is: 1,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.43 : 1,912.61 = 1,069.99 : x
  2. Step 2: Convert to fraction form
    1,385.43/1,912.61 = 1,069.99/x
  3. Step 3: Cross multiply
    1,385.43x = 1,912.61 × 1,069.99
  4. Step 4: Simplify right side
    1,385.43x = 2,046,467.03
  5. Step 5: Solve for x
    x = 2,046,467.03/1,385.43
  6. Step 6: Final answer
    x = 1,477.13

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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.