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Finding the Fourth Proportional to 769.41, 1,153.77 and 282.30

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Solution

The fourth proportional to 769.41, 1,153.77 and 282.30 is: 423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.41 : 1,153.77 = 282.30 : x
  2. Step 2: Convert to fraction form
    769.41/1,153.77 = 282.30/x
  3. Step 3: Cross multiply
    769.41x = 1,153.77 × 282.30
  4. Step 4: Simplify right side
    769.41x = 325,709.27
  5. Step 5: Solve for x
    x = 325,709.27/769.41
  6. Step 6: Final answer
    x = 423.32

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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.