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Finding the Fourth Proportional to 667.48, 1,000.66 and 282.68

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Solution

The fourth proportional to 667.48, 1,000.66 and 282.68 is: 423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.48 : 1,000.66 = 282.68 : x
  2. Step 2: Convert to fraction form
    667.48/1,000.66 = 282.68/x
  3. Step 3: Cross multiply
    667.48x = 1,000.66 × 282.68
  4. Step 4: Simplify right side
    667.48x = 282,866.57
  5. Step 5: Solve for x
    x = 282,866.57/667.48
  6. Step 6: Final answer
    x = 423.78

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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.