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Finding the Fourth Proportional to 1,406.57, 1,940.89 and 847.03

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Solution

The fourth proportional to 1,406.57, 1,940.89 and 847.03 is: 1,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.57 : 1,940.89 = 847.03 : x
  2. Step 2: Convert to fraction form
    1,406.57/1,940.89 = 847.03/x
  3. Step 3: Cross multiply
    1,406.57x = 1,940.89 × 847.03
  4. Step 4: Simplify right side
    1,406.57x = 1,643,984.47
  5. Step 5: Solve for x
    x = 1,643,984.47/1,406.57
  6. Step 6: Final answer
    x = 1,168.79

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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.