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Finding the Fourth Proportional to 1,422.20, 1,962.60 and 792.70

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Solution

The fourth proportional to 1,422.20, 1,962.60 and 792.70 is: 1,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.20 : 1,962.60 = 792.70 : x
  2. Step 2: Convert to fraction form
    1,422.20/1,962.60 = 792.70/x
  3. Step 3: Cross multiply
    1,422.20x = 1,962.60 × 792.70
  4. Step 4: Simplify right side
    1,422.20x = 1,555,753.02
  5. Step 5: Solve for x
    x = 1,555,753.02/1,422.20
  6. Step 6: Final answer
    x = 1,093.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.