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Finding the Fourth Proportional to 735.80, 1,102.92 and 273.29

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Solution

The fourth proportional to 735.80, 1,102.92 and 273.29 is: 409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.80 : 1,102.92 = 273.29 : x
  2. Step 2: Convert to fraction form
    735.80/1,102.92 = 273.29/x
  3. Step 3: Cross multiply
    735.80x = 1,102.92 × 273.29
  4. Step 4: Simplify right side
    735.80x = 301,411.49
  5. Step 5: Solve for x
    x = 301,411.49/735.80
  6. Step 6: Final answer
    x = 409.64

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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.