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Finding the Fourth Proportional to 769.41, 1,154.07 and 282.24

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Solution

The fourth proportional to 769.41, 1,154.07 and 282.24 is: 423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.41 : 1,154.07 = 282.24 : x
  2. Step 2: Convert to fraction form
    769.41/1,154.07 = 282.24/x
  3. Step 3: Cross multiply
    769.41x = 1,154.07 × 282.24
  4. Step 4: Simplify right side
    769.41x = 325,724.72
  5. Step 5: Solve for x
    x = 325,724.72/769.41
  6. Step 6: Final answer
    x = 423.34

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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.