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Finding the Fourth Proportional to 1,224.53, 1,836.88 and 668.90

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Solution

The fourth proportional to 1,224.53, 1,836.88 and 668.90 is: 1,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.53 : 1,836.88 = 668.90 : x
  2. Step 2: Convert to fraction form
    1,224.53/1,836.88 = 668.90/x
  3. Step 3: Cross multiply
    1,224.53x = 1,836.88 × 668.90
  4. Step 4: Simplify right side
    1,224.53x = 1,228,689.03
  5. Step 5: Solve for x
    x = 1,228,689.03/1,224.53
  6. Step 6: Final answer
    x = 1,003.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.