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Finding the Fourth Proportional to 1,422.25, 1,962.72 and 801.25

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Solution

The fourth proportional to 1,422.25, 1,962.72 and 801.25 is: 1,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.25 : 1,962.72 = 801.25 : x
  2. Step 2: Convert to fraction form
    1,422.25/1,962.72 = 801.25/x
  3. Step 3: Cross multiply
    1,422.25x = 1,962.72 × 801.25
  4. Step 4: Simplify right side
    1,422.25x = 1,572,629.40
  5. Step 5: Solve for x
    x = 1,572,629.40/1,422.25
  6. Step 6: Final answer
    x = 1,105.73

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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.