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Finding the Fourth Proportional to 838.16, 1,255.17 and 676.16

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Solution

The fourth proportional to 838.16, 1,255.17 and 676.16 is: 1,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.16 : 1,255.17 = 676.16 : x
  2. Step 2: Convert to fraction form
    838.16/1,255.17 = 676.16/x
  3. Step 3: Cross multiply
    838.16x = 1,255.17 × 676.16
  4. Step 4: Simplify right side
    838.16x = 848,695.75
  5. Step 5: Solve for x
    x = 848,695.75/838.16
  6. Step 6: Final answer
    x = 1,012.57

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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.