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Finding the Fourth Proportional to 1,344.74, 1,855.56 and 755.24

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Solution

The fourth proportional to 1,344.74, 1,855.56 and 755.24 is: 1,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.74 : 1,855.56 = 755.24 : x
  2. Step 2: Convert to fraction form
    1,344.74/1,855.56 = 755.24/x
  3. Step 3: Cross multiply
    1,344.74x = 1,855.56 × 755.24
  4. Step 4: Simplify right side
    1,344.74x = 1,401,393.13
  5. Step 5: Solve for x
    x = 1,401,393.13/1,344.74
  6. Step 6: Final answer
    x = 1,042.13

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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.