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Finding the Fourth Proportional to 1,211.55, 1,672.21 and 769.37

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Solution

The fourth proportional to 1,211.55, 1,672.21 and 769.37 is: 1,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.55 : 1,672.21 = 769.37 : x
  2. Step 2: Convert to fraction form
    1,211.55/1,672.21 = 769.37/x
  3. Step 3: Cross multiply
    1,211.55x = 1,672.21 × 769.37
  4. Step 4: Simplify right side
    1,211.55x = 1,286,548.21
  5. Step 5: Solve for x
    x = 1,286,548.21/1,211.55
  6. Step 6: Final answer
    x = 1,061.90

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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.