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Finding the Fourth Proportional to 728.82, 1,093.23 and 497.97

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Solution

The fourth proportional to 728.82, 1,093.23 and 497.97 is: 746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.82 : 1,093.23 = 497.97 : x
  2. Step 2: Convert to fraction form
    728.82/1,093.23 = 497.97/x
  3. Step 3: Cross multiply
    728.82x = 1,093.23 × 497.97
  4. Step 4: Simplify right side
    728.82x = 544,395.74
  5. Step 5: Solve for x
    x = 544,395.74/728.82
  6. Step 6: Final answer
    x = 746.96

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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.