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Finding the Fourth Proportional to 1,211.10, 1,671.78 and 769.24

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Solution

The fourth proportional to 1,211.10, 1,671.78 and 769.24 is: 1,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.10 : 1,671.78 = 769.24 : x
  2. Step 2: Convert to fraction form
    1,211.10/1,671.78 = 769.24/x
  3. Step 3: Cross multiply
    1,211.10x = 1,671.78 × 769.24
  4. Step 4: Simplify right side
    1,211.10x = 1,286,000.05
  5. Step 5: Solve for x
    x = 1,286,000.05/1,211.10
  6. Step 6: Final answer
    x = 1,061.84

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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.