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Finding the Fourth Proportional to 1,196.76, 1,794.92 and 547.34

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Solution

The fourth proportional to 1,196.76, 1,794.92 and 547.34 is: 820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.76 : 1,794.92 = 547.34 : x
  2. Step 2: Convert to fraction form
    1,196.76/1,794.92 = 547.34/x
  3. Step 3: Cross multiply
    1,196.76x = 1,794.92 × 547.34
  4. Step 4: Simplify right side
    1,196.76x = 982,431.51
  5. Step 5: Solve for x
    x = 982,431.51/1,196.76
  6. Step 6: Final answer
    x = 820.91

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