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Finding the Fourth Proportional to 989.17, 1,365.68 and 616.69

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Solution

The fourth proportional to 989.17, 1,365.68 and 616.69 is: 851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.17 : 1,365.68 = 616.69 : x
  2. Step 2: Convert to fraction form
    989.17/1,365.68 = 616.69/x
  3. Step 3: Cross multiply
    989.17x = 1,365.68 × 616.69
  4. Step 4: Simplify right side
    989.17x = 842,201.20
  5. Step 5: Solve for x
    x = 842,201.20/989.17
  6. Step 6: Final answer
    x = 851.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.