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Finding the Fourth Proportional to 1,195.32, 1,799.49 and 1,076.25

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Solution

The fourth proportional to 1,195.32, 1,799.49 and 1,076.25 is: 1,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.32 : 1,799.49 = 1,076.25 : x
  2. Step 2: Convert to fraction form
    1,195.32/1,799.49 = 1,076.25/x
  3. Step 3: Cross multiply
    1,195.32x = 1,799.49 × 1,076.25
  4. Step 4: Simplify right side
    1,195.32x = 1,936,701.11
  5. Step 5: Solve for x
    x = 1,936,701.11/1,195.32
  6. Step 6: Final answer
    x = 1,620.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.