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Finding the Fourth Proportional to 1,161.41, 1,742.60 and 723.02

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Solution

The fourth proportional to 1,161.41, 1,742.60 and 723.02 is: 1,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.41 : 1,742.60 = 723.02 : x
  2. Step 2: Convert to fraction form
    1,161.41/1,742.60 = 723.02/x
  3. Step 3: Cross multiply
    1,161.41x = 1,742.60 × 723.02
  4. Step 4: Simplify right side
    1,161.41x = 1,259,936.62
  5. Step 5: Solve for x
    x = 1,259,936.62/1,161.41
  6. Step 6: Final answer
    x = 1,084.84

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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.