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Finding the Fourth Proportional to 1,422.74, 1,963.29 and 793.20

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Solution

The fourth proportional to 1,422.74, 1,963.29 and 793.20 is: 1,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.74 : 1,963.29 = 793.20 : x
  2. Step 2: Convert to fraction form
    1,422.74/1,963.29 = 793.20/x
  3. Step 3: Cross multiply
    1,422.74x = 1,963.29 × 793.20
  4. Step 4: Simplify right side
    1,422.74x = 1,557,281.63
  5. Step 5: Solve for x
    x = 1,557,281.63/1,422.74
  6. Step 6: Final answer
    x = 1,094.56

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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.