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Finding the Fourth Proportional to 735.47, 1,102.53 and 248.39

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Solution

The fourth proportional to 735.47, 1,102.53 and 248.39 is: 372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.47 : 1,102.53 = 248.39 : x
  2. Step 2: Convert to fraction form
    735.47/1,102.53 = 248.39/x
  3. Step 3: Cross multiply
    735.47x = 1,102.53 × 248.39
  4. Step 4: Simplify right side
    735.47x = 273,857.43
  5. Step 5: Solve for x
    x = 273,857.43/735.47
  6. Step 6: Final answer
    x = 372.36

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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.