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Finding the Fourth Proportional to 679.75, 1,019.10 and 492.13

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Solution

The fourth proportional to 679.75, 1,019.10 and 492.13 is: 737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.75 : 1,019.10 = 492.13 : x
  2. Step 2: Convert to fraction form
    679.75/1,019.10 = 492.13/x
  3. Step 3: Cross multiply
    679.75x = 1,019.10 × 492.13
  4. Step 4: Simplify right side
    679.75x = 501,529.68
  5. Step 5: Solve for x
    x = 501,529.68/679.75
  6. Step 6: Final answer
    x = 737.81

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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.