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Finding the Fourth Proportional to 1,227.63, 1,694.11 and 730.26

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Solution

The fourth proportional to 1,227.63, 1,694.11 and 730.26 is: 1,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.63 : 1,694.11 = 730.26 : x
  2. Step 2: Convert to fraction form
    1,227.63/1,694.11 = 730.26/x
  3. Step 3: Cross multiply
    1,227.63x = 1,694.11 × 730.26
  4. Step 4: Simplify right side
    1,227.63x = 1,237,130.47
  5. Step 5: Solve for x
    x = 1,237,130.47/1,227.63
  6. Step 6: Final answer
    x = 1,007.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.