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Finding the Fourth Proportional to 1,096.24, 1,512.82 and 598.90

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Solution

The fourth proportional to 1,096.24, 1,512.82 and 598.90 is: 826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.24 : 1,512.82 = 598.90 : x
  2. Step 2: Convert to fraction form
    1,096.24/1,512.82 = 598.90/x
  3. Step 3: Cross multiply
    1,096.24x = 1,512.82 × 598.90
  4. Step 4: Simplify right side
    1,096.24x = 906,027.90
  5. Step 5: Solve for x
    x = 906,027.90/1,096.24
  6. Step 6: Final answer
    x = 826.49

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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.