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Finding the Fourth Proportional to 1,212.32, 1,671.84 and 769.43

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Solution

The fourth proportional to 1,212.32, 1,671.84 and 769.43 is: 1,061.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.32 : 1,671.84 = 769.43 : x
  2. Step 2: Convert to fraction form
    1,212.32/1,671.84 = 769.43/x
  3. Step 3: Cross multiply
    1,212.32x = 1,671.84 × 769.43
  4. Step 4: Simplify right side
    1,212.32x = 1,286,363.85
  5. Step 5: Solve for x
    x = 1,286,363.85/1,212.32
  6. Step 6: Final answer
    x = 1,061.08

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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.