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Finding the Fourth Proportional to 1,224.76, 1,837.14 and 455.26

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Solution

The fourth proportional to 1,224.76, 1,837.14 and 455.26 is: 682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.76 : 1,837.14 = 455.26 : x
  2. Step 2: Convert to fraction form
    1,224.76/1,837.14 = 455.26/x
  3. Step 3: Cross multiply
    1,224.76x = 1,837.14 × 455.26
  4. Step 4: Simplify right side
    1,224.76x = 836,376.36
  5. Step 5: Solve for x
    x = 836,376.36/1,224.76
  6. Step 6: Final answer
    x = 682.89

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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.