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Finding the Fourth Proportional to 1,278.55, 1,763.29 and 998.35

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Solution

The fourth proportional to 1,278.55, 1,763.29 and 998.35 is: 1,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.55 : 1,763.29 = 998.35 : x
  2. Step 2: Convert to fraction form
    1,278.55/1,763.29 = 998.35/x
  3. Step 3: Cross multiply
    1,278.55x = 1,763.29 × 998.35
  4. Step 4: Simplify right side
    1,278.55x = 1,760,380.57
  5. Step 5: Solve for x
    x = 1,760,380.57/1,278.55
  6. Step 6: Final answer
    x = 1,376.86

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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.