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Finding the Fourth Proportional to 817.64, 1,225.98 and 269.68

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Solution

The fourth proportional to 817.64, 1,225.98 and 269.68 is: 404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.64 : 1,225.98 = 269.68 : x
  2. Step 2: Convert to fraction form
    817.64/1,225.98 = 269.68/x
  3. Step 3: Cross multiply
    817.64x = 1,225.98 × 269.68
  4. Step 4: Simplify right side
    817.64x = 330,622.29
  5. Step 5: Solve for x
    x = 330,622.29/817.64
  6. Step 6: Final answer
    x = 404.36

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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.