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Finding the Fourth Proportional to 1,338.46, 1,846.67 and 771.12

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Solution

The fourth proportional to 1,338.46, 1,846.67 and 771.12 is: 1,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.46 : 1,846.67 = 771.12 : x
  2. Step 2: Convert to fraction form
    1,338.46/1,846.67 = 771.12/x
  3. Step 3: Cross multiply
    1,338.46x = 1,846.67 × 771.12
  4. Step 4: Simplify right side
    1,338.46x = 1,424,000.31
  5. Step 5: Solve for x
    x = 1,424,000.31/1,338.46
  6. Step 6: Final answer
    x = 1,063.91

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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.