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Finding the Fourth Proportional to 1,442.46, 2,163.74 and 388.26

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Solution

The fourth proportional to 1,442.46, 2,163.74 and 388.26 is: 582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.46 : 2,163.74 = 388.26 : x
  2. Step 2: Convert to fraction form
    1,442.46/2,163.74 = 388.26/x
  3. Step 3: Cross multiply
    1,442.46x = 2,163.74 × 388.26
  4. Step 4: Simplify right side
    1,442.46x = 840,091.75
  5. Step 5: Solve for x
    x = 840,091.75/1,442.46
  6. Step 6: Final answer
    x = 582.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.