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Finding the Fourth Proportional to 823, 1,137.36 and 735.52

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Solution

The fourth proportional to 823, 1,137.36 and 735.52 is: 1,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    823 : 1,137.36 = 735.52 : x
  2. Step 2: Convert to fraction form
    823/1,137.36 = 735.52/x
  3. Step 3: Cross multiply
    823x = 1,137.36 × 735.52
  4. Step 4: Simplify right side
    823x = 836,551.03
  5. Step 5: Solve for x
    x = 836,551.03/823
  6. Step 6: Final answer
    x = 1,016.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.