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Finding the Fourth Proportional to 1,339.20, 1,843.20 and 1,163.52

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Solution

The fourth proportional to 1,339.20, 1,843.20 and 1,163.52 is: 1,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.20 : 1,843.20 = 1,163.52 : x
  2. Step 2: Convert to fraction form
    1,339.20/1,843.20 = 1,163.52/x
  3. Step 3: Cross multiply
    1,339.20x = 1,843.20 × 1,163.52
  4. Step 4: Simplify right side
    1,339.20x = 2,144,600.06
  5. Step 5: Solve for x
    x = 2,144,600.06/1,339.20
  6. Step 6: Final answer
    x = 1,601.40

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1.5x scale

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.