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Finding the Fourth Proportional to 1,422.58, 1,963.25 and 801.62

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Solution

The fourth proportional to 1,422.58, 1,963.25 and 801.62 is: 1,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.58 : 1,963.25 = 801.62 : x
  2. Step 2: Convert to fraction form
    1,422.58/1,963.25 = 801.62/x
  3. Step 3: Cross multiply
    1,422.58x = 1,963.25 × 801.62
  4. Step 4: Simplify right side
    1,422.58x = 1,573,780.47
  5. Step 5: Solve for x
    x = 1,573,780.47/1,422.58
  6. Step 6: Final answer
    x = 1,106.29

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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.