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Finding the Fourth Proportional to 769.91, 1,154.12 and 282.83

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Solution

The fourth proportional to 769.91, 1,154.12 and 282.83 is: 423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.91 : 1,154.12 = 282.83 : x
  2. Step 2: Convert to fraction form
    769.91/1,154.12 = 282.83/x
  3. Step 3: Cross multiply
    769.91x = 1,154.12 × 282.83
  4. Step 4: Simplify right side
    769.91x = 326,412.57
  5. Step 5: Solve for x
    x = 326,412.57/769.91
  6. Step 6: Final answer
    x = 423.96

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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.