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Finding the Fourth Proportional to 674.72, 1,011.32 and 284.60

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Solution

The fourth proportional to 674.72, 1,011.32 and 284.60 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.72 : 1,011.32 = 284.60 : x
  2. Step 2: Convert to fraction form
    674.72/1,011.32 = 284.60/x
  3. Step 3: Cross multiply
    674.72x = 1,011.32 × 284.60
  4. Step 4: Simplify right side
    674.72x = 287,823.62
  5. Step 5: Solve for x
    x = 287,823.62/674.72
  6. Step 6: Final answer
    x = 426.58

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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.