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Finding the Fourth Proportional to 735.28, 1,102.02 and 410.20

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Solution

The fourth proportional to 735.28, 1,102.02 and 410.20 is: 614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.28 : 1,102.02 = 410.20 : x
  2. Step 2: Convert to fraction form
    735.28/1,102.02 = 410.20/x
  3. Step 3: Cross multiply
    735.28x = 1,102.02 × 410.20
  4. Step 4: Simplify right side
    735.28x = 452,048.60
  5. Step 5: Solve for x
    x = 452,048.60/735.28
  6. Step 6: Final answer
    x = 614.80

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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.