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Finding the Fourth Proportional to 817.19, 1,225.83 and 269.42

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Solution

The fourth proportional to 817.19, 1,225.83 and 269.42 is: 404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.19 : 1,225.83 = 269.42 : x
  2. Step 2: Convert to fraction form
    817.19/1,225.83 = 269.42/x
  3. Step 3: Cross multiply
    817.19x = 1,225.83 × 269.42
  4. Step 4: Simplify right side
    817.19x = 330,256.99
  5. Step 5: Solve for x
    x = 330,256.99/817.19
  6. Step 6: Final answer
    x = 404.14

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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.