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Finding the Fourth Proportional to 735.62, 1,102.50 and 388.89

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Solution

The fourth proportional to 735.62, 1,102.50 and 388.89 is: 582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.62 : 1,102.50 = 388.89 : x
  2. Step 2: Convert to fraction form
    735.62/1,102.50 = 388.89/x
  3. Step 3: Cross multiply
    735.62x = 1,102.50 × 388.89
  4. Step 4: Simplify right side
    735.62x = 428,751.23
  5. Step 5: Solve for x
    x = 428,751.23/735.62
  6. Step 6: Final answer
    x = 582.85

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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.