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Finding the Fourth Proportional to 989.62, 1,365.78 and 616.96

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Solution

The fourth proportional to 989.62, 1,365.78 and 616.96 is: 851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.62 : 1,365.78 = 616.96 : x
  2. Step 2: Convert to fraction form
    989.62/1,365.78 = 616.96/x
  3. Step 3: Cross multiply
    989.62x = 1,365.78 × 616.96
  4. Step 4: Simplify right side
    989.62x = 842,631.63
  5. Step 5: Solve for x
    x = 842,631.63/989.62
  6. Step 6: Final answer
    x = 851.47

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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.