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Finding the Fourth Proportional to 1,224.63, 1,837.21 and 455.13

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Solution

The fourth proportional to 1,224.63, 1,837.21 and 455.13 is: 682.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.63 : 1,837.21 = 455.13 : x
  2. Step 2: Convert to fraction form
    1,224.63/1,837.21 = 455.13/x
  3. Step 3: Cross multiply
    1,224.63x = 1,837.21 × 455.13
  4. Step 4: Simplify right side
    1,224.63x = 836,169.39
  5. Step 5: Solve for x
    x = 836,169.39/1,224.63
  6. Step 6: Final answer
    x = 682.79

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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.