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Finding the Fourth Proportional to 1,338.10, 1,846.41 and 748.66

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Solution

The fourth proportional to 1,338.10, 1,846.41 and 748.66 is: 1,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.10 : 1,846.41 = 748.66 : x
  2. Step 2: Convert to fraction form
    1,338.10/1,846.41 = 748.66/x
  3. Step 3: Cross multiply
    1,338.10x = 1,846.41 × 748.66
  4. Step 4: Simplify right side
    1,338.10x = 1,382,333.31
  5. Step 5: Solve for x
    x = 1,382,333.31/1,338.10
  6. Step 6: Final answer
    x = 1,033.06

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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.