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Finding the Fourth Proportional to 734.93, 1,102.82 and 273.03

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Solution

The fourth proportional to 734.93, 1,102.82 and 273.03 is: 409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.93 : 1,102.82 = 273.03 : x
  2. Step 2: Convert to fraction form
    734.93/1,102.82 = 273.03/x
  3. Step 3: Cross multiply
    734.93x = 1,102.82 × 273.03
  4. Step 4: Simplify right side
    734.93x = 301,101.58
  5. Step 5: Solve for x
    x = 301,101.58/734.93
  6. Step 6: Final answer
    x = 409.70

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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.