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Finding the Fourth Proportional to 674.40, 1,011.89 and 284.49

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Solution

The fourth proportional to 674.40, 1,011.89 and 284.49 is: 426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.40 : 1,011.89 = 284.49 : x
  2. Step 2: Convert to fraction form
    674.40/1,011.89 = 284.49/x
  3. Step 3: Cross multiply
    674.40x = 1,011.89 × 284.49
  4. Step 4: Simplify right side
    674.40x = 287,871.16
  5. Step 5: Solve for x
    x = 287,871.16/674.40
  6. Step 6: Final answer
    x = 426.86

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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.