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Finding the Fourth Proportional to 1,196.76, 1,794.45 and 546.87

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Solution

The fourth proportional to 1,196.76, 1,794.45 and 546.87 is: 819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.76 : 1,794.45 = 546.87 : x
  2. Step 2: Convert to fraction form
    1,196.76/1,794.45 = 546.87/x
  3. Step 3: Cross multiply
    1,196.76x = 1,794.45 × 546.87
  4. Step 4: Simplify right side
    1,196.76x = 981,330.87
  5. Step 5: Solve for x
    x = 981,330.87/1,196.76
  6. Step 6: Final answer
    x = 819.99

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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.