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Finding the Fourth Proportional to 1,238.73, 1,709.27 and 741.26

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Solution

The fourth proportional to 1,238.73, 1,709.27 and 741.26 is: 1,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.73 : 1,709.27 = 741.26 : x
  2. Step 2: Convert to fraction form
    1,238.73/1,709.27 = 741.26/x
  3. Step 3: Cross multiply
    1,238.73x = 1,709.27 × 741.26
  4. Step 4: Simplify right side
    1,238.73x = 1,267,001.23
  5. Step 5: Solve for x
    x = 1,267,001.23/1,238.73
  6. Step 6: Final answer
    x = 1,022.82

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Why These Related Problems?

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