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Finding the Fourth Proportional to 1,422.21, 1,962.60 and 801.21

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Solution

The fourth proportional to 1,422.21, 1,962.60 and 801.21 is: 1,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.21 : 1,962.60 = 801.21 : x
  2. Step 2: Convert to fraction form
    1,422.21/1,962.60 = 801.21/x
  3. Step 3: Cross multiply
    1,422.21x = 1,962.60 × 801.21
  4. Step 4: Simplify right side
    1,422.21x = 1,572,454.75
  5. Step 5: Solve for x
    x = 1,572,454.75/1,422.21
  6. Step 6: Final answer
    x = 1,105.64

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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.