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Finding the Fourth Proportional to 728.96, 1,091.99 and 533.00

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Solution

The fourth proportional to 728.96, 1,091.99 and 533.00 is: 798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.96 : 1,091.99 = 533.00 : x
  2. Step 2: Convert to fraction form
    728.96/1,091.99 = 533.00/x
  3. Step 3: Cross multiply
    728.96x = 1,091.99 × 533.00
  4. Step 4: Simplify right side
    728.96x = 582,022.55
  5. Step 5: Solve for x
    x = 582,022.55/728.96
  6. Step 6: Final answer
    x = 798.43

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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.