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Finding the Fourth Proportional to 1,160.94, 1,743.37 and 723.22

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Solution

The fourth proportional to 1,160.94, 1,743.37 and 723.22 is: 1,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.94 : 1,743.37 = 723.22 : x
  2. Step 2: Convert to fraction form
    1,160.94/1,743.37 = 723.22/x
  3. Step 3: Cross multiply
    1,160.94x = 1,743.37 × 723.22
  4. Step 4: Simplify right side
    1,160.94x = 1,260,833.88
  5. Step 5: Solve for x
    x = 1,260,833.88/1,160.94
  6. Step 6: Final answer
    x = 1,086.04

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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.