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Finding the Fourth Proportional to 1,278.41, 1,764.25 and 998.55

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Solution

The fourth proportional to 1,278.41, 1,764.25 and 998.55 is: 1,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.41 : 1,764.25 = 998.55 : x
  2. Step 2: Convert to fraction form
    1,278.41/1,764.25 = 998.55/x
  3. Step 3: Cross multiply
    1,278.41x = 1,764.25 × 998.55
  4. Step 4: Simplify right side
    1,278.41x = 1,761,689.34
  5. Step 5: Solve for x
    x = 1,761,689.34/1,278.41
  6. Step 6: Final answer
    x = 1,378.04

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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.