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Finding the Fourth Proportional to 735.82, 1,015.37 and 404.23

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Solution

The fourth proportional to 735.82, 1,015.37 and 404.23 is: 557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.82 : 1,015.37 = 404.23 : x
  2. Step 2: Convert to fraction form
    735.82/1,015.37 = 404.23/x
  3. Step 3: Cross multiply
    735.82x = 1,015.37 × 404.23
  4. Step 4: Simplify right side
    735.82x = 410,444.73
  5. Step 5: Solve for x
    x = 410,444.73/735.82
  6. Step 6: Final answer
    x = 557.81

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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.