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Finding the Fourth Proportional to 1,311.32, 1,809.80 and 1,200.60

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Solution

The fourth proportional to 1,311.32, 1,809.80 and 1,200.60 is: 1,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.32 : 1,809.80 = 1,200.60 : x
  2. Step 2: Convert to fraction form
    1,311.32/1,809.80 = 1,200.60/x
  3. Step 3: Cross multiply
    1,311.32x = 1,809.80 × 1,200.60
  4. Step 4: Simplify right side
    1,311.32x = 2,172,845.88
  5. Step 5: Solve for x
    x = 2,172,845.88/1,311.32
  6. Step 6: Final answer
    x = 1,656.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.