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Finding the Fourth Proportional to 735.62, 1,103.82 and 370.48

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Solution

The fourth proportional to 735.62, 1,103.82 and 370.48 is: 555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.62 : 1,103.82 = 370.48 : x
  2. Step 2: Convert to fraction form
    735.62/1,103.82 = 370.48/x
  3. Step 3: Cross multiply
    735.62x = 1,103.82 × 370.48
  4. Step 4: Simplify right side
    735.62x = 408,943.23
  5. Step 5: Solve for x
    x = 408,943.23/735.62
  6. Step 6: Final answer
    x = 555.92

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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.