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Finding the Fourth Proportional to 1,406.74, 1,940.70 and 909.43

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Solution

The fourth proportional to 1,406.74, 1,940.70 and 909.43 is: 1,254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.74 : 1,940.70 = 909.43 : x
  2. Step 2: Convert to fraction form
    1,406.74/1,940.70 = 909.43/x
  3. Step 3: Cross multiply
    1,406.74x = 1,940.70 × 909.43
  4. Step 4: Simplify right side
    1,406.74x = 1,764,930.80
  5. Step 5: Solve for x
    x = 1,764,930.80/1,406.74
  6. Step 6: Final answer
    x = 1,254.62

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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.