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Finding the Fourth Proportional to 736.82, 1,105.25 and 589.89

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Solution

The fourth proportional to 736.82, 1,105.25 and 589.89 is: 884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.82 : 1,105.25 = 589.89 : x
  2. Step 2: Convert to fraction form
    736.82/1,105.25 = 589.89/x
  3. Step 3: Cross multiply
    736.82x = 1,105.25 × 589.89
  4. Step 4: Simplify right side
    736.82x = 651,979.33
  5. Step 5: Solve for x
    x = 651,979.33/736.82
  6. Step 6: Final answer
    x = 884.85

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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.