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Finding the Fourth Proportional to 1,219.87, 1,684.02 and 867.52

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Solution

The fourth proportional to 1,219.87, 1,684.02 and 867.52 is: 1,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.87 : 1,684.02 = 867.52 : x
  2. Step 2: Convert to fraction form
    1,219.87/1,684.02 = 867.52/x
  3. Step 3: Cross multiply
    1,219.87x = 1,684.02 × 867.52
  4. Step 4: Simplify right side
    1,219.87x = 1,460,921.03
  5. Step 5: Solve for x
    x = 1,460,921.03/1,219.87
  6. Step 6: Final answer
    x = 1,197.60

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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.