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Finding the Fourth Proportional to 713.29, 1,069.11 and 301.81

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Solution

The fourth proportional to 713.29, 1,069.11 and 301.81 is: 452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.29 : 1,069.11 = 301.81 : x
  2. Step 2: Convert to fraction form
    713.29/1,069.11 = 301.81/x
  3. Step 3: Cross multiply
    713.29x = 1,069.11 × 301.81
  4. Step 4: Simplify right side
    713.29x = 322,668.09
  5. Step 5: Solve for x
    x = 322,668.09/713.29
  6. Step 6: Final answer
    x = 452.37

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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.