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Finding the Fourth Proportional to 679.84, 1,020.17 and 295.09

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Solution

The fourth proportional to 679.84, 1,020.17 and 295.09 is: 442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.84 : 1,020.17 = 295.09 : x
  2. Step 2: Convert to fraction form
    679.84/1,020.17 = 295.09/x
  3. Step 3: Cross multiply
    679.84x = 1,020.17 × 295.09
  4. Step 4: Simplify right side
    679.84x = 301,041.97
  5. Step 5: Solve for x
    x = 301,041.97/679.84
  6. Step 6: Final answer
    x = 442.81

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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.