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Finding the Fourth Proportional to 735.89, 1,102.34 and 345.35

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Solution

The fourth proportional to 735.89, 1,102.34 and 345.35 is: 517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.89 : 1,102.34 = 345.35 : x
  2. Step 2: Convert to fraction form
    735.89/1,102.34 = 345.35/x
  3. Step 3: Cross multiply
    735.89x = 1,102.34 × 345.35
  4. Step 4: Simplify right side
    735.89x = 380,685.88
  5. Step 5: Solve for x
    x = 380,685.88/735.89
  6. Step 6: Final answer
    x = 517.32

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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.