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Finding the Fourth Proportional to 1,092.25, 1,637.88 and 398.43

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Solution

The fourth proportional to 1,092.25, 1,637.88 and 398.43 is: 597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.25 : 1,637.88 = 398.43 : x
  2. Step 2: Convert to fraction form
    1,092.25/1,637.88 = 398.43/x
  3. Step 3: Cross multiply
    1,092.25x = 1,637.88 × 398.43
  4. Step 4: Simplify right side
    1,092.25x = 652,576.66
  5. Step 5: Solve for x
    x = 652,576.66/1,092.25
  6. Step 6: Final answer
    x = 597.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.