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Finding the Fourth Proportional to 1,150.25, 1,723.93 and 905.81

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Solution

The fourth proportional to 1,150.25, 1,723.93 and 905.81 is: 1,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.25 : 1,723.93 = 905.81 : x
  2. Step 2: Convert to fraction form
    1,150.25/1,723.93 = 905.81/x
  3. Step 3: Cross multiply
    1,150.25x = 1,723.93 × 905.81
  4. Step 4: Simplify right side
    1,150.25x = 1,561,542.15
  5. Step 5: Solve for x
    x = 1,561,542.15/1,150.25
  6. Step 6: Final answer
    x = 1,357.57

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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.