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Finding the Fourth Proportional to 1,255.34, 1,732.42 and 834.96

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Solution

The fourth proportional to 1,255.34, 1,732.42 and 834.96 is: 1,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.34 : 1,732.42 = 834.96 : x
  2. Step 2: Convert to fraction form
    1,255.34/1,732.42 = 834.96/x
  3. Step 3: Cross multiply
    1,255.34x = 1,732.42 × 834.96
  4. Step 4: Simplify right side
    1,255.34x = 1,446,501.40
  5. Step 5: Solve for x
    x = 1,446,501.40/1,255.34
  6. Step 6: Final answer
    x = 1,152.28

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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.