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Finding the Fourth Proportional to 728.56, 1,093.12 and 295.76

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Solution

The fourth proportional to 728.56, 1,093.12 and 295.76 is: 443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.56 : 1,093.12 = 295.76 : x
  2. Step 2: Convert to fraction form
    728.56/1,093.12 = 295.76/x
  3. Step 3: Cross multiply
    728.56x = 1,093.12 × 295.76
  4. Step 4: Simplify right side
    728.56x = 323,301.17
  5. Step 5: Solve for x
    x = 323,301.17/728.56
  6. Step 6: Final answer
    x = 443.75

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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.