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Finding the Fourth Proportional to 1,096.35, 1,512.45 and 676.53

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Solution

The fourth proportional to 1,096.35, 1,512.45 and 676.53 is: 933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.35 : 1,512.45 = 676.53 : x
  2. Step 2: Convert to fraction form
    1,096.35/1,512.45 = 676.53/x
  3. Step 3: Cross multiply
    1,096.35x = 1,512.45 × 676.53
  4. Step 4: Simplify right side
    1,096.35x = 1,023,217.80
  5. Step 5: Solve for x
    x = 1,023,217.80/1,096.35
  6. Step 6: Final answer
    x = 933.29

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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.