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Finding the Fourth Proportional to 983.41, 1,357.97 and 819.38

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Solution

The fourth proportional to 983.41, 1,357.97 and 819.38 is: 1,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.41 : 1,357.97 = 819.38 : x
  2. Step 2: Convert to fraction form
    983.41/1,357.97 = 819.38/x
  3. Step 3: Cross multiply
    983.41x = 1,357.97 × 819.38
  4. Step 4: Simplify right side
    983.41x = 1,112,692.76
  5. Step 5: Solve for x
    x = 1,112,692.76/983.41
  6. Step 6: Final answer
    x = 1,131.47

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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.