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Finding the Fourth Proportional to 1,550.00, 2,324.25 and 727.58

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Solution

The fourth proportional to 1,550.00, 2,324.25 and 727.58 is: 1,091.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.00 : 2,324.25 = 727.58 : x
  2. Step 2: Convert to fraction form
    1,550.00/2,324.25 = 727.58/x
  3. Step 3: Cross multiply
    1,550.00x = 2,324.25 × 727.58
  4. Step 4: Simplify right side
    1,550.00x = 1,691,066.19
  5. Step 5: Solve for x
    x = 1,691,066.19/1,550.00
  6. Step 6: Final answer
    x = 1,091.01

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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.