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Finding the Fourth Proportional to 1,274.55, 1,759.35 and 1,096.85

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Solution

The fourth proportional to 1,274.55, 1,759.35 and 1,096.85 is: 1,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.55 : 1,759.35 = 1,096.85 : x
  2. Step 2: Convert to fraction form
    1,274.55/1,759.35 = 1,096.85/x
  3. Step 3: Cross multiply
    1,274.55x = 1,759.35 × 1,096.85
  4. Step 4: Simplify right side
    1,274.55x = 1,929,751.56
  5. Step 5: Solve for x
    x = 1,929,751.56/1,274.55
  6. Step 6: Final answer
    x = 1,514.07

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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.