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Finding the Fourth Proportional to 735.04, 1,102.26 and 266.38

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Solution

The fourth proportional to 735.04, 1,102.26 and 266.38 is: 399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.04 : 1,102.26 = 266.38 : x
  2. Step 2: Convert to fraction form
    735.04/1,102.26 = 266.38/x
  3. Step 3: Cross multiply
    735.04x = 1,102.26 × 266.38
  4. Step 4: Simplify right side
    735.04x = 293,620.02
  5. Step 5: Solve for x
    x = 293,620.02/735.04
  6. Step 6: Final answer
    x = 399.46

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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.