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Finding the Fourth Proportional to 1,238.68, 1,709.63 and 741.61

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Solution

The fourth proportional to 1,238.68, 1,709.63 and 741.61 is: 1,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.68 : 1,709.63 = 741.61 : x
  2. Step 2: Convert to fraction form
    1,238.68/1,709.63 = 741.61/x
  3. Step 3: Cross multiply
    1,238.68x = 1,709.63 × 741.61
  4. Step 4: Simplify right side
    1,238.68x = 1,267,878.70
  5. Step 5: Solve for x
    x = 1,267,878.70/1,238.68
  6. Step 6: Final answer
    x = 1,023.57

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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.