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Finding the Fourth Proportional to 1,238.96, 1,709.82 and 741.88

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Solution

The fourth proportional to 1,238.96, 1,709.82 and 741.88 is: 1,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.96 : 1,709.82 = 741.88 : x
  2. Step 2: Convert to fraction form
    1,238.96/1,709.82 = 741.88/x
  3. Step 3: Cross multiply
    1,238.96x = 1,709.82 × 741.88
  4. Step 4: Simplify right side
    1,238.96x = 1,268,481.26
  5. Step 5: Solve for x
    x = 1,268,481.26/1,238.96
  6. Step 6: Final answer
    x = 1,023.83

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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.