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Finding the Fourth Proportional to 735.87, 1,103.93 and 365.69

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Solution

The fourth proportional to 735.87, 1,103.93 and 365.69 is: 548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.87 : 1,103.93 = 365.69 : x
  2. Step 2: Convert to fraction form
    735.87/1,103.93 = 365.69/x
  3. Step 3: Cross multiply
    735.87x = 1,103.93 × 365.69
  4. Step 4: Simplify right side
    735.87x = 403,697.09
  5. Step 5: Solve for x
    x = 403,697.09/735.87
  6. Step 6: Final answer
    x = 548.60

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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.