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Finding the Fourth Proportional to 735.63, 1,102.89 and 273.32

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Solution

The fourth proportional to 735.63, 1,102.89 and 273.32 is: 409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.63 : 1,102.89 = 273.32 : x
  2. Step 2: Convert to fraction form
    735.63/1,102.89 = 273.32/x
  3. Step 3: Cross multiply
    735.63x = 1,102.89 × 273.32
  4. Step 4: Simplify right side
    735.63x = 301,441.89
  5. Step 5: Solve for x
    x = 301,441.89/735.63
  6. Step 6: Final answer
    x = 409.77

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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.