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Finding the Fourth Proportional to 1,096.83, 1,512.84 and 654.39

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Solution

The fourth proportional to 1,096.83, 1,512.84 and 654.39 is: 902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.83 : 1,512.84 = 654.39 : x
  2. Step 2: Convert to fraction form
    1,096.83/1,512.84 = 654.39/x
  3. Step 3: Cross multiply
    1,096.83x = 1,512.84 × 654.39
  4. Step 4: Simplify right side
    1,096.83x = 989,987.37
  5. Step 5: Solve for x
    x = 989,987.37/1,096.83
  6. Step 6: Final answer
    x = 902.59

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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.