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Finding the Fourth Proportional to 816.87, 1,225.61 and 269.31

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Solution

The fourth proportional to 816.87, 1,225.61 and 269.31 is: 404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.87 : 1,225.61 = 269.31 : x
  2. Step 2: Convert to fraction form
    816.87/1,225.61 = 269.31/x
  3. Step 3: Cross multiply
    816.87x = 1,225.61 × 269.31
  4. Step 4: Simplify right side
    816.87x = 330,069.03
  5. Step 5: Solve for x
    x = 330,069.03/816.87
  6. Step 6: Final answer
    x = 404.07

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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.