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Finding the Fourth Proportional to 735.25, 1,014.46 and 538.42

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Solution

The fourth proportional to 735.25, 1,014.46 and 538.42 is: 742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.25 : 1,014.46 = 538.42 : x
  2. Step 2: Convert to fraction form
    735.25/1,014.46 = 538.42/x
  3. Step 3: Cross multiply
    735.25x = 1,014.46 × 538.42
  4. Step 4: Simplify right side
    735.25x = 546,201.67
  5. Step 5: Solve for x
    x = 546,201.67/735.25
  6. Step 6: Final answer
    x = 742.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.