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Finding the Fourth Proportional to 769.79, 1,154 and 282.73

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Solution

The fourth proportional to 769.79, 1,154 and 282.73 is: 423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.79 : 1,154 = 282.73 : x
  2. Step 2: Convert to fraction form
    769.79/1,154 = 282.73/x
  3. Step 3: Cross multiply
    769.79x = 1,154 × 282.73
  4. Step 4: Simplify right side
    769.79x = 326,270.42
  5. Step 5: Solve for x
    x = 326,270.42/769.79
  6. Step 6: Final answer
    x = 423.84

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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.