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Finding the Fourth Proportional to 735.88, 1,103.82 and 345.77

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Solution

The fourth proportional to 735.88, 1,103.82 and 345.77 is: 518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.88 : 1,103.82 = 345.77 : x
  2. Step 2: Convert to fraction form
    735.88/1,103.82 = 345.77/x
  3. Step 3: Cross multiply
    735.88x = 1,103.82 × 345.77
  4. Step 4: Simplify right side
    735.88x = 381,662.32
  5. Step 5: Solve for x
    x = 381,662.32/735.88
  6. Step 6: Final answer
    x = 518.65

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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.