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Finding the Fourth Proportional to 667.73, 1,000.92 and 462.35

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Solution

The fourth proportional to 667.73, 1,000.92 and 462.35 is: 693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.73 : 1,000.92 = 462.35 : x
  2. Step 2: Convert to fraction form
    667.73/1,000.92 = 462.35/x
  3. Step 3: Cross multiply
    667.73x = 1,000.92 × 462.35
  4. Step 4: Simplify right side
    667.73x = 462,775.36
  5. Step 5: Solve for x
    x = 462,775.36/667.73
  6. Step 6: Final answer
    x = 693.06

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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.