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Finding the Fourth Proportional to 679.77, 1,019.31 and 355.05

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Solution

The fourth proportional to 679.77, 1,019.31 and 355.05 is: 532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.77 : 1,019.31 = 355.05 : x
  2. Step 2: Convert to fraction form
    679.77/1,019.31 = 355.05/x
  3. Step 3: Cross multiply
    679.77x = 1,019.31 × 355.05
  4. Step 4: Simplify right side
    679.77x = 361,906.02
  5. Step 5: Solve for x
    x = 361,906.02/679.77
  6. Step 6: Final answer
    x = 532.39

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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.