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Finding the Fourth Proportional to 769.16, 1,153.61 and 282.09

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Solution

The fourth proportional to 769.16, 1,153.61 and 282.09 is: 423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.16 : 1,153.61 = 282.09 : x
  2. Step 2: Convert to fraction form
    769.16/1,153.61 = 282.09/x
  3. Step 3: Cross multiply
    769.16x = 1,153.61 × 282.09
  4. Step 4: Simplify right side
    769.16x = 325,420.43
  5. Step 5: Solve for x
    x = 325,420.43/769.16
  6. Step 6: Final answer
    x = 423.09

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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.