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Finding the Fourth Proportional to 769.96, 1,154.92 and 282.80

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Solution

The fourth proportional to 769.96, 1,154.92 and 282.80 is: 424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.96 : 1,154.92 = 282.80 : x
  2. Step 2: Convert to fraction form
    769.96/1,154.92 = 282.80/x
  3. Step 3: Cross multiply
    769.96x = 1,154.92 × 282.80
  4. Step 4: Simplify right side
    769.96x = 326,611.38
  5. Step 5: Solve for x
    x = 326,611.38/769.96
  6. Step 6: Final answer
    x = 424.19

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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.