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Finding the Fourth Proportional to 735.66, 1,102.89 and 273.15

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Solution

The fourth proportional to 735.66, 1,102.89 and 273.15 is: 409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.66 : 1,102.89 = 273.15 : x
  2. Step 2: Convert to fraction form
    735.66/1,102.89 = 273.15/x
  3. Step 3: Cross multiply
    735.66x = 1,102.89 × 273.15
  4. Step 4: Simplify right side
    735.66x = 301,254.40
  5. Step 5: Solve for x
    x = 301,254.40/735.66
  6. Step 6: Final answer
    x = 409.50

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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.