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Finding the Fourth Proportional to 842.67, 1,264.43 and 404.41

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Solution

The fourth proportional to 842.67, 1,264.43 and 404.41 is: 606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.67 : 1,264.43 = 404.41 : x
  2. Step 2: Convert to fraction form
    842.67/1,264.43 = 404.41/x
  3. Step 3: Cross multiply
    842.67x = 1,264.43 × 404.41
  4. Step 4: Simplify right side
    842.67x = 511,348.14
  5. Step 5: Solve for x
    x = 511,348.14/842.67
  6. Step 6: Final answer
    x = 606.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.