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Finding the Fourth Proportional to 1,422.24, 1,962.24 and 801.12

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Solution

The fourth proportional to 1,422.24, 1,962.24 and 801.12 is: 1,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.24 : 1,962.24 = 801.12 : x
  2. Step 2: Convert to fraction form
    1,422.24/1,962.24 = 801.12/x
  3. Step 3: Cross multiply
    1,422.24x = 1,962.24 × 801.12
  4. Step 4: Simplify right side
    1,422.24x = 1,571,989.71
  5. Step 5: Solve for x
    x = 1,571,989.71/1,422.24
  6. Step 6: Final answer
    x = 1,105.29

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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.