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Finding the Fourth Proportional to 1,163.35, 1,741.38 and 833.24

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Solution

The fourth proportional to 1,163.35, 1,741.38 and 833.24 is: 1,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.35 : 1,741.38 = 833.24 : x
  2. Step 2: Convert to fraction form
    1,163.35/1,741.38 = 833.24/x
  3. Step 3: Cross multiply
    1,163.35x = 1,741.38 × 833.24
  4. Step 4: Simplify right side
    1,163.35x = 1,450,987.47
  5. Step 5: Solve for x
    x = 1,450,987.47/1,163.35
  6. Step 6: Final answer
    x = 1,247.25

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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.