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Finding the Fourth Proportional to 1,428.41, 1,971.06 and 838.73

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Solution

The fourth proportional to 1,428.41, 1,971.06 and 838.73 is: 1,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.41 : 1,971.06 = 838.73 : x
  2. Step 2: Convert to fraction form
    1,428.41/1,971.06 = 838.73/x
  3. Step 3: Cross multiply
    1,428.41x = 1,971.06 × 838.73
  4. Step 4: Simplify right side
    1,428.41x = 1,653,187.15
  5. Step 5: Solve for x
    x = 1,653,187.15/1,428.41
  6. Step 6: Final answer
    x = 1,157.36

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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.