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Finding the Fourth Proportional to 736.19, 1,104.12 and 365.61

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Solution

The fourth proportional to 736.19, 1,104.12 and 365.61 is: 548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.19 : 1,104.12 = 365.61 : x
  2. Step 2: Convert to fraction form
    736.19/1,104.12 = 365.61/x
  3. Step 3: Cross multiply
    736.19x = 1,104.12 × 365.61
  4. Step 4: Simplify right side
    736.19x = 403,677.31
  5. Step 5: Solve for x
    x = 403,677.31/736.19
  6. Step 6: Final answer
    x = 548.34

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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.