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Finding the Fourth Proportional to 1,422.43, 1,962.61 and 801.43

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Solution

The fourth proportional to 1,422.43, 1,962.61 and 801.43 is: 1,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.43 : 1,962.61 = 801.43 : x
  2. Step 2: Convert to fraction form
    1,422.43/1,962.61 = 801.43/x
  3. Step 3: Cross multiply
    1,422.43x = 1,962.61 × 801.43
  4. Step 4: Simplify right side
    1,422.43x = 1,572,894.53
  5. Step 5: Solve for x
    x = 1,572,894.53/1,422.43
  6. Step 6: Final answer
    x = 1,105.78

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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.