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Finding the Fourth Proportional to 1,344.64, 1,855.36 and 755.12

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Solution

The fourth proportional to 1,344.64, 1,855.36 and 755.12 is: 1,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.64 : 1,855.36 = 755.12 : x
  2. Step 2: Convert to fraction form
    1,344.64/1,855.36 = 755.12/x
  3. Step 3: Cross multiply
    1,344.64x = 1,855.36 × 755.12
  4. Step 4: Simplify right side
    1,344.64x = 1,401,019.44
  5. Step 5: Solve for x
    x = 1,401,019.44/1,344.64
  6. Step 6: Final answer
    x = 1,041.93

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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.