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Finding the Fourth Proportional to 1,468.22, 2,200.50 and 727.04

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Solution

The fourth proportional to 1,468.22, 2,200.50 and 727.04 is: 1,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.22 : 2,200.50 = 727.04 : x
  2. Step 2: Convert to fraction form
    1,468.22/2,200.50 = 727.04/x
  3. Step 3: Cross multiply
    1,468.22x = 2,200.50 × 727.04
  4. Step 4: Simplify right side
    1,468.22x = 1,599,857.02
  5. Step 5: Solve for x
    x = 1,599,857.02/1,468.22
  6. Step 6: Final answer
    x = 1,089.66

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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.