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Finding the Fourth Proportional to 1,344.82, 1,855.80 and 755.38

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Solution

The fourth proportional to 1,344.82, 1,855.80 and 755.38 is: 1,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.82 : 1,855.80 = 755.38 : x
  2. Step 2: Convert to fraction form
    1,344.82/1,855.80 = 755.38/x
  3. Step 3: Cross multiply
    1,344.82x = 1,855.80 × 755.38
  4. Step 4: Simplify right side
    1,344.82x = 1,401,834.20
  5. Step 5: Solve for x
    x = 1,401,834.20/1,344.82
  6. Step 6: Final answer
    x = 1,042.40

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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.