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Finding the Fourth Proportional to 1,096.01, 1,512.48 and 598.64

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Solution

The fourth proportional to 1,096.01, 1,512.48 and 598.64 is: 826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.01 : 1,512.48 = 598.64 : x
  2. Step 2: Convert to fraction form
    1,096.01/1,512.48 = 598.64/x
  3. Step 3: Cross multiply
    1,096.01x = 1,512.48 × 598.64
  4. Step 4: Simplify right side
    1,096.01x = 905,431.03
  5. Step 5: Solve for x
    x = 905,431.03/1,096.01
  6. Step 6: Final answer
    x = 826.12

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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.