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Finding the Fourth Proportional to 1,209.80, 1,659.40 and 1,161.20

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Solution

The fourth proportional to 1,209.80, 1,659.40 and 1,161.20 is: 1,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.80 : 1,659.40 = 1,161.20 : x
  2. Step 2: Convert to fraction form
    1,209.80/1,659.40 = 1,161.20/x
  3. Step 3: Cross multiply
    1,209.80x = 1,659.40 × 1,161.20
  4. Step 4: Simplify right side
    1,209.80x = 1,926,895.28
  5. Step 5: Solve for x
    x = 1,926,895.28/1,209.80
  6. Step 6: Final answer
    x = 1,592.74

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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.