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Finding the Fourth Proportional to 817.13, 1,225.42 and 269.18

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Solution

The fourth proportional to 817.13, 1,225.42 and 269.18 is: 403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.13 : 1,225.42 = 269.18 : x
  2. Step 2: Convert to fraction form
    817.13/1,225.42 = 269.18/x
  3. Step 3: Cross multiply
    817.13x = 1,225.42 × 269.18
  4. Step 4: Simplify right side
    817.13x = 329,858.56
  5. Step 5: Solve for x
    x = 329,858.56/817.13
  6. Step 6: Final answer
    x = 403.68

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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.