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Finding the Fourth Proportional to 674.85, 1,012.17 and 284.85

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Solution

The fourth proportional to 674.85, 1,012.17 and 284.85 is: 427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.85 : 1,012.17 = 284.85 : x
  2. Step 2: Convert to fraction form
    674.85/1,012.17 = 284.85/x
  3. Step 3: Cross multiply
    674.85x = 1,012.17 × 284.85
  4. Step 4: Simplify right side
    674.85x = 288,316.62
  5. Step 5: Solve for x
    x = 288,316.62/674.85
  6. Step 6: Final answer
    x = 427.23

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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.