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Finding the Fourth Proportional to 1,224.25, 1,834.99 and 608.40

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Solution

The fourth proportional to 1,224.25, 1,834.99 and 608.40 is: 911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.25 : 1,834.99 = 608.40 : x
  2. Step 2: Convert to fraction form
    1,224.25/1,834.99 = 608.40/x
  3. Step 3: Cross multiply
    1,224.25x = 1,834.99 × 608.40
  4. Step 4: Simplify right side
    1,224.25x = 1,116,407.92
  5. Step 5: Solve for x
    x = 1,116,407.92/1,224.25
  6. Step 6: Final answer
    x = 911.91

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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.