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Finding the Fourth Proportional to 1,096.14, 1,512.68 and 598.79

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Solution

The fourth proportional to 1,096.14, 1,512.68 and 598.79 is: 826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.14 : 1,512.68 = 598.79 : x
  2. Step 2: Convert to fraction form
    1,096.14/1,512.68 = 598.79/x
  3. Step 3: Cross multiply
    1,096.14x = 1,512.68 × 598.79
  4. Step 4: Simplify right side
    1,096.14x = 905,777.45
  5. Step 5: Solve for x
    x = 905,777.45/1,096.14
  6. Step 6: Final answer
    x = 826.33

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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.