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Finding the Fourth Proportional to 1,213.60, 1,816.80 and 727.60

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Solution

The fourth proportional to 1,213.60, 1,816.80 and 727.60 is: 1,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.60 : 1,816.80 = 727.60 : x
  2. Step 2: Convert to fraction form
    1,213.60/1,816.80 = 727.60/x
  3. Step 3: Cross multiply
    1,213.60x = 1,816.80 × 727.60
  4. Step 4: Simplify right side
    1,213.60x = 1,321,903.68
  5. Step 5: Solve for x
    x = 1,321,903.68/1,213.60
  6. Step 6: Final answer
    x = 1,089.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.