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Finding the Fourth Proportional to 1,197.97, 1,796.96 and 376.25

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Solution

The fourth proportional to 1,197.97, 1,796.96 and 376.25 is: 564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.97 : 1,796.96 = 376.25 : x
  2. Step 2: Convert to fraction form
    1,197.97/1,796.96 = 376.25/x
  3. Step 3: Cross multiply
    1,197.97x = 1,796.96 × 376.25
  4. Step 4: Simplify right side
    1,197.97x = 676,106.20
  5. Step 5: Solve for x
    x = 676,106.20/1,197.97
  6. Step 6: Final answer
    x = 564.38

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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.