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Finding the Fourth Proportional to 1,163.87, 1,746.93 and 725.96

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Solution

The fourth proportional to 1,163.87, 1,746.93 and 725.96 is: 1,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.87 : 1,746.93 = 725.96 : x
  2. Step 2: Convert to fraction form
    1,163.87/1,746.93 = 725.96/x
  3. Step 3: Cross multiply
    1,163.87x = 1,746.93 × 725.96
  4. Step 4: Simplify right side
    1,163.87x = 1,268,208.39
  5. Step 5: Solve for x
    x = 1,268,208.39/1,163.87
  6. Step 6: Final answer
    x = 1,089.65

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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.