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Finding the Fourth Proportional to 1,172.34, 1,755.68 and 896.33

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Solution

The fourth proportional to 1,172.34, 1,755.68 and 896.33 is: 1,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.34 : 1,755.68 = 896.33 : x
  2. Step 2: Convert to fraction form
    1,172.34/1,755.68 = 896.33/x
  3. Step 3: Cross multiply
    1,172.34x = 1,755.68 × 896.33
  4. Step 4: Simplify right side
    1,172.34x = 1,573,668.56
  5. Step 5: Solve for x
    x = 1,573,668.56/1,172.34
  6. Step 6: Final answer
    x = 1,342.33

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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.