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Finding the Fourth Proportional to 1,239.82, 1,711.14 and 742.48

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Solution

The fourth proportional to 1,239.82, 1,711.14 and 742.48 is: 1,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.82 : 1,711.14 = 742.48 : x
  2. Step 2: Convert to fraction form
    1,239.82/1,711.14 = 742.48/x
  3. Step 3: Cross multiply
    1,239.82x = 1,711.14 × 742.48
  4. Step 4: Simplify right side
    1,239.82x = 1,270,487.23
  5. Step 5: Solve for x
    x = 1,270,487.23/1,239.82
  6. Step 6: Final answer
    x = 1,024.74

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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.