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Finding the Fourth Proportional to 843.48, 1,263.33 and 732.38

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Solution

The fourth proportional to 843.48, 1,263.33 and 732.38 is: 1,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.48 : 1,263.33 = 732.38 : x
  2. Step 2: Convert to fraction form
    843.48/1,263.33 = 732.38/x
  3. Step 3: Cross multiply
    843.48x = 1,263.33 × 732.38
  4. Step 4: Simplify right side
    843.48x = 925,231.31
  5. Step 5: Solve for x
    x = 925,231.31/843.48
  6. Step 6: Final answer
    x = 1,096.92

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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.