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Finding the Fourth Proportional to 674.57, 1,011.81 and 284.40

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Solution

The fourth proportional to 674.57, 1,011.81 and 284.40 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.57 : 1,011.81 = 284.40 : x
  2. Step 2: Convert to fraction form
    674.57/1,011.81 = 284.40/x
  3. Step 3: Cross multiply
    674.57x = 1,011.81 × 284.40
  4. Step 4: Simplify right side
    674.57x = 287,758.76
  5. Step 5: Solve for x
    x = 287,758.76/674.57
  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.