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Finding the Fourth Proportional to 1,195.86, 1,792.26 and 546.60

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Solution

The fourth proportional to 1,195.86, 1,792.26 and 546.60 is: 819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.86 : 1,792.26 = 546.60 : x
  2. Step 2: Convert to fraction form
    1,195.86/1,792.26 = 546.60/x
  3. Step 3: Cross multiply
    1,195.86x = 1,792.26 × 546.60
  4. Step 4: Simplify right side
    1,195.86x = 979,649.32
  5. Step 5: Solve for x
    x = 979,649.32/1,195.86
  6. Step 6: Final answer
    x = 819.20

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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.