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Finding the Fourth Proportional to 793.53, 1,189.21 and 598.36

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Solution

The fourth proportional to 793.53, 1,189.21 and 598.36 is: 896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.53 : 1,189.21 = 598.36 : x
  2. Step 2: Convert to fraction form
    793.53/1,189.21 = 598.36/x
  3. Step 3: Cross multiply
    793.53x = 1,189.21 × 598.36
  4. Step 4: Simplify right side
    793.53x = 711,580.01
  5. Step 5: Solve for x
    x = 711,580.01/793.53
  6. Step 6: Final answer
    x = 896.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.