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Finding the Fourth Proportional to 1,550.34, 2,325.15 and 727.83

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Solution

The fourth proportional to 1,550.34, 2,325.15 and 727.83 is: 1,091.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.34 : 2,325.15 = 727.83 : x
  2. Step 2: Convert to fraction form
    1,550.34/2,325.15 = 727.83/x
  3. Step 3: Cross multiply
    1,550.34x = 2,325.15 × 727.83
  4. Step 4: Simplify right side
    1,550.34x = 1,692,313.92
  5. Step 5: Solve for x
    x = 1,692,313.92/1,550.34
  6. Step 6: Final answer
    x = 1,091.58

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