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Finding the Fourth Proportional to 1,169.50, 1,754.25 and 736.96

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Solution

The fourth proportional to 1,169.50, 1,754.25 and 736.96 is: 1,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.50 : 1,754.25 = 736.96 : x
  2. Step 2: Convert to fraction form
    1,169.50/1,754.25 = 736.96/x
  3. Step 3: Cross multiply
    1,169.50x = 1,754.25 × 736.96
  4. Step 4: Simplify right side
    1,169.50x = 1,292,812.08
  5. Step 5: Solve for x
    x = 1,292,812.08/1,169.50
  6. Step 6: Final answer
    x = 1,105.44

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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.