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Finding the Fourth Proportional to 1,701.99, 2,550.83 and 727.11

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Solution

The fourth proportional to 1,701.99, 2,550.83 and 727.11 is: 1,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.99 : 2,550.83 = 727.11 : x
  2. Step 2: Convert to fraction form
    1,701.99/2,550.83 = 727.11/x
  3. Step 3: Cross multiply
    1,701.99x = 2,550.83 × 727.11
  4. Step 4: Simplify right side
    1,701.99x = 1,854,730.37
  5. Step 5: Solve for x
    x = 1,854,730.37/1,701.99
  6. Step 6: Final answer
    x = 1,089.74

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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.