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Finding the Fourth Proportional to 1,337.91, 1,846.43 and 748.56

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Solution

The fourth proportional to 1,337.91, 1,846.43 and 748.56 is: 1,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.91 : 1,846.43 = 748.56 : x
  2. Step 2: Convert to fraction form
    1,337.91/1,846.43 = 748.56/x
  3. Step 3: Cross multiply
    1,337.91x = 1,846.43 × 748.56
  4. Step 4: Simplify right side
    1,337.91x = 1,382,163.64
  5. Step 5: Solve for x
    x = 1,382,163.64/1,337.91
  6. Step 6: Final answer
    x = 1,033.08

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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.