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Finding the Fourth Proportional to 1,428.14, 1,970.82 and 838.73

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Solution

The fourth proportional to 1,428.14, 1,970.82 and 838.73 is: 1,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.14 : 1,970.82 = 838.73 : x
  2. Step 2: Convert to fraction form
    1,428.14/1,970.82 = 838.73/x
  3. Step 3: Cross multiply
    1,428.14x = 1,970.82 × 838.73
  4. Step 4: Simplify right side
    1,428.14x = 1,652,976.00
  5. Step 5: Solve for x
    x = 1,652,976.00/1,428.14
  6. Step 6: Final answer
    x = 1,157.44

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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.