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Finding the Fourth Proportional to 1,550.51, 2,323.87 and 727.68

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Solution

The fourth proportional to 1,550.51, 2,323.87 and 727.68 is: 1,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.51 : 2,323.87 = 727.68 : x
  2. Step 2: Convert to fraction form
    1,550.51/2,323.87 = 727.68/x
  3. Step 3: Cross multiply
    1,550.51x = 2,323.87 × 727.68
  4. Step 4: Simplify right side
    1,550.51x = 1,691,030.08
  5. Step 5: Solve for x
    x = 1,691,030.08/1,550.51
  6. Step 6: Final answer
    x = 1,090.63

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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.