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Finding the Fourth Proportional to 1,219.47, 1,683.39 and 939.59

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Solution

The fourth proportional to 1,219.47, 1,683.39 and 939.59 is: 1,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.47 : 1,683.39 = 939.59 : x
  2. Step 2: Convert to fraction form
    1,219.47/1,683.39 = 939.59/x
  3. Step 3: Cross multiply
    1,219.47x = 1,683.39 × 939.59
  4. Step 4: Simplify right side
    1,219.47x = 1,581,696.41
  5. Step 5: Solve for x
    x = 1,581,696.41/1,219.47
  6. Step 6: Final answer
    x = 1,297.04

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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.