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Finding the Fourth Proportional to 1,344.85, 1,855.91 and 755.44

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Solution

The fourth proportional to 1,344.85, 1,855.91 and 755.44 is: 1,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.85 : 1,855.91 = 755.44 : x
  2. Step 2: Convert to fraction form
    1,344.85/1,855.91 = 755.44/x
  3. Step 3: Cross multiply
    1,344.85x = 1,855.91 × 755.44
  4. Step 4: Simplify right side
    1,344.85x = 1,402,028.65
  5. Step 5: Solve for x
    x = 1,402,028.65/1,344.85
  6. Step 6: Final answer
    x = 1,042.52

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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.