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Finding the Fourth Proportional to 736.26, 1,102.68 and 365.39

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Solution

The fourth proportional to 736.26, 1,102.68 and 365.39 is: 547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.26 : 1,102.68 = 365.39 : x
  2. Step 2: Convert to fraction form
    736.26/1,102.68 = 365.39/x
  3. Step 3: Cross multiply
    736.26x = 1,102.68 × 365.39
  4. Step 4: Simplify right side
    736.26x = 402,902.73
  5. Step 5: Solve for x
    x = 402,902.73/736.26
  6. Step 6: Final answer
    x = 547.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.