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Finding the Fourth Proportional to 1,205.60, 1,657.28 and 1,086.80

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Solution

The fourth proportional to 1,205.60, 1,657.28 and 1,086.80 is: 1,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.60 : 1,657.28 = 1,086.80 : x
  2. Step 2: Convert to fraction form
    1,205.60/1,657.28 = 1,086.80/x
  3. Step 3: Cross multiply
    1,205.60x = 1,657.28 × 1,086.80
  4. Step 4: Simplify right side
    1,205.60x = 1,801,131.90
  5. Step 5: Solve for x
    x = 1,801,131.90/1,205.60
  6. Step 6: Final answer
    x = 1,493.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.