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Finding the Fourth Proportional to 769.75, 1,155.23 and 282.94

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Solution

The fourth proportional to 769.75, 1,155.23 and 282.94 is: 424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.75 : 1,155.23 = 282.94 : x
  2. Step 2: Convert to fraction form
    769.75/1,155.23 = 282.94/x
  3. Step 3: Cross multiply
    769.75x = 1,155.23 × 282.94
  4. Step 4: Simplify right side
    769.75x = 326,853.59
  5. Step 5: Solve for x
    x = 326,853.59/769.75
  6. Step 6: Final answer
    x = 424.63

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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.