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Finding the Fourth Proportional to 1,224.27, 1,836.61 and 608.00

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Solution

The fourth proportional to 1,224.27, 1,836.61 and 608.00 is: 912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.27 : 1,836.61 = 608.00 : x
  2. Step 2: Convert to fraction form
    1,224.27/1,836.61 = 608.00/x
  3. Step 3: Cross multiply
    1,224.27x = 1,836.61 × 608.00
  4. Step 4: Simplify right side
    1,224.27x = 1,116,648.18
  5. Step 5: Solve for x
    x = 1,116,648.18/1,224.27
  6. Step 6: Final answer
    x = 912.09

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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.