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Finding the Fourth Proportional to 1,213.44, 1,814.58 and 901.68

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Solution

The fourth proportional to 1,213.44, 1,814.58 and 901.68 is: 1,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.44 : 1,814.58 = 901.68 : x
  2. Step 2: Convert to fraction form
    1,213.44/1,814.58 = 901.68/x
  3. Step 3: Cross multiply
    1,213.44x = 1,814.58 × 901.68
  4. Step 4: Simplify right side
    1,213.44x = 1,636,170.49
  5. Step 5: Solve for x
    x = 1,636,170.49/1,213.44
  6. Step 6: Final answer
    x = 1,348.37

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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.