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Finding the Fourth Proportional to 736.89, 1,107.42 and 709.62

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Solution

The fourth proportional to 736.89, 1,107.42 and 709.62 is: 1,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.89 : 1,107.42 = 709.62 : x
  2. Step 2: Convert to fraction form
    736.89/1,107.42 = 709.62/x
  3. Step 3: Cross multiply
    736.89x = 1,107.42 × 709.62
  4. Step 4: Simplify right side
    736.89x = 785,847.38
  5. Step 5: Solve for x
    x = 785,847.38/736.89
  6. Step 6: Final answer
    x = 1,066.44

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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.