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Finding the Fourth Proportional to 1,422.74, 1,963.36 and 801.74

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Solution

The fourth proportional to 1,422.74, 1,963.36 and 801.74 is: 1,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.74 : 1,963.36 = 801.74 : x
  2. Step 2: Convert to fraction form
    1,422.74/1,963.36 = 801.74/x
  3. Step 3: Cross multiply
    1,422.74x = 1,963.36 × 801.74
  4. Step 4: Simplify right side
    1,422.74x = 1,574,104.25
  5. Step 5: Solve for x
    x = 1,574,104.25/1,422.74
  6. Step 6: Final answer
    x = 1,106.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.