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Finding the Fourth Proportional to 1,422.06, 1,962.42 and 792.57

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Solution

The fourth proportional to 1,422.06, 1,962.42 and 792.57 is: 1,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.06 : 1,962.42 = 792.57 : x
  2. Step 2: Convert to fraction form
    1,422.06/1,962.42 = 792.57/x
  3. Step 3: Cross multiply
    1,422.06x = 1,962.42 × 792.57
  4. Step 4: Simplify right side
    1,422.06x = 1,555,355.22
  5. Step 5: Solve for x
    x = 1,555,355.22/1,422.06
  6. Step 6: Final answer
    x = 1,093.73

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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.