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Finding the Fourth Proportional to 921.98, 1,272.84 and 627.68

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Solution

The fourth proportional to 921.98, 1,272.84 and 627.68 is: 866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.98 : 1,272.84 = 627.68 : x
  2. Step 2: Convert to fraction form
    921.98/1,272.84 = 627.68/x
  3. Step 3: Cross multiply
    921.98x = 1,272.84 × 627.68
  4. Step 4: Simplify right side
    921.98x = 798,936.21
  5. Step 5: Solve for x
    x = 798,936.21/921.98
  6. Step 6: Final answer
    x = 866.54

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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.