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Finding the Fourth Proportional to 1,096.30, 1,512.90 and 598.94

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Solution

The fourth proportional to 1,096.30, 1,512.90 and 598.94 is: 826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.30 : 1,512.90 = 598.94 : x
  2. Step 2: Convert to fraction form
    1,096.30/1,512.90 = 598.94/x
  3. Step 3: Cross multiply
    1,096.30x = 1,512.90 × 598.94
  4. Step 4: Simplify right side
    1,096.30x = 906,136.33
  5. Step 5: Solve for x
    x = 906,136.33/1,096.30
  6. Step 6: Final answer
    x = 826.54

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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.