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Finding the Fourth Proportional to 793.90, 1,096.23 and 533.08

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Solution

The fourth proportional to 793.90, 1,096.23 and 533.08 is: 736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.90 : 1,096.23 = 533.08 : x
  2. Step 2: Convert to fraction form
    793.90/1,096.23 = 533.08/x
  3. Step 3: Cross multiply
    793.90x = 1,096.23 × 533.08
  4. Step 4: Simplify right side
    793.90x = 584,378.29
  5. Step 5: Solve for x
    x = 584,378.29/793.90
  6. Step 6: Final answer
    x = 736.09

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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.