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Finding the Fourth Proportional to 728.96, 1,093.84 and 382.24

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Solution

The fourth proportional to 728.96, 1,093.84 and 382.24 is: 573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.96 : 1,093.84 = 382.24 : x
  2. Step 2: Convert to fraction form
    728.96/1,093.84 = 382.24/x
  3. Step 3: Cross multiply
    728.96x = 1,093.84 × 382.24
  4. Step 4: Simplify right side
    728.96x = 418,109.40
  5. Step 5: Solve for x
    x = 418,109.40/728.96
  6. Step 6: Final answer
    x = 573.57

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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.