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Finding the Fourth Proportional to 756.05, 1,132.83 and 727.22

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Solution

The fourth proportional to 756.05, 1,132.83 and 727.22 is: 1,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.05 : 1,132.83 = 727.22 : x
  2. Step 2: Convert to fraction form
    756.05/1,132.83 = 727.22/x
  3. Step 3: Cross multiply
    756.05x = 1,132.83 × 727.22
  4. Step 4: Simplify right side
    756.05x = 823,816.63
  5. Step 5: Solve for x
    x = 823,816.63/756.05
  6. Step 6: Final answer
    x = 1,089.63

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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.