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Finding the Fourth Proportional to 735.44, 1,102.20 and 410.48

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Solution

The fourth proportional to 735.44, 1,102.20 and 410.48 is: 615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.44 : 1,102.20 = 410.48 : x
  2. Step 2: Convert to fraction form
    735.44/1,102.20 = 410.48/x
  3. Step 3: Cross multiply
    735.44x = 1,102.20 × 410.48
  4. Step 4: Simplify right side
    735.44x = 452,431.06
  5. Step 5: Solve for x
    x = 452,431.06/735.44
  6. Step 6: Final answer
    x = 615.18

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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.