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Finding the Fourth Proportional to 735.56, 1,102.65 and 273.03

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Solution

The fourth proportional to 735.56, 1,102.65 and 273.03 is: 409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.56 : 1,102.65 = 273.03 : x
  2. Step 2: Convert to fraction form
    735.56/1,102.65 = 273.03/x
  3. Step 3: Cross multiply
    735.56x = 1,102.65 × 273.03
  4. Step 4: Simplify right side
    735.56x = 301,051.37
  5. Step 5: Solve for x
    x = 301,051.37/735.56
  6. Step 6: Final answer
    x = 409.28

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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.