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Finding the Fourth Proportional to 989.64, 1,365.71 and 616.62

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Solution

The fourth proportional to 989.64, 1,365.71 and 616.62 is: 850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.64 : 1,365.71 = 616.62 : x
  2. Step 2: Convert to fraction form
    989.64/1,365.71 = 616.62/x
  3. Step 3: Cross multiply
    989.64x = 1,365.71 × 616.62
  4. Step 4: Simplify right side
    989.64x = 842,121.02
  5. Step 5: Solve for x
    x = 842,121.02/989.64
  6. Step 6: Final answer
    x = 850.94

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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.