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Finding the Fourth Proportional to 1,224.31, 1,684.23 and 1,074.28

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Solution

The fourth proportional to 1,224.31, 1,684.23 and 1,074.28 is: 1,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.31 : 1,684.23 = 1,074.28 : x
  2. Step 2: Convert to fraction form
    1,224.31/1,684.23 = 1,074.28/x
  3. Step 3: Cross multiply
    1,224.31x = 1,684.23 × 1,074.28
  4. Step 4: Simplify right side
    1,224.31x = 1,809,334.60
  5. Step 5: Solve for x
    x = 1,809,334.60/1,224.31
  6. Step 6: Final answer
    x = 1,477.84

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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.