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Finding the Fourth Proportional to 794.01, 1,096.16 and 597.99

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Solution

The fourth proportional to 794.01, 1,096.16 and 597.99 is: 825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.01 : 1,096.16 = 597.99 : x
  2. Step 2: Convert to fraction form
    794.01/1,096.16 = 597.99/x
  3. Step 3: Cross multiply
    794.01x = 1,096.16 × 597.99
  4. Step 4: Simplify right side
    794.01x = 655,489.73
  5. Step 5: Solve for x
    x = 655,489.73/794.01
  6. Step 6: Final answer
    x = 825.54

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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.