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Finding the Fourth Proportional to 769.98, 1,154.97 and 282.69

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Solution

The fourth proportional to 769.98, 1,154.97 and 282.69 is: 424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.98 : 1,154.97 = 282.69 : x
  2. Step 2: Convert to fraction form
    769.98/1,154.97 = 282.69/x
  3. Step 3: Cross multiply
    769.98x = 1,154.97 × 282.69
  4. Step 4: Simplify right side
    769.98x = 326,498.47
  5. Step 5: Solve for x
    x = 326,498.47/769.98
  6. Step 6: Final answer
    x = 424.04

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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.