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Finding the Fourth Proportional to 989.50, 1,364.48 and 850.08

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Solution

The fourth proportional to 989.50, 1,364.48 and 850.08 is: 1,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.50 : 1,364.48 = 850.08 : x
  2. Step 2: Convert to fraction form
    989.50/1,364.48 = 850.08/x
  3. Step 3: Cross multiply
    989.50x = 1,364.48 × 850.08
  4. Step 4: Simplify right side
    989.50x = 1,159,917.16
  5. Step 5: Solve for x
    x = 1,159,917.16/989.50
  6. Step 6: Final answer
    x = 1,172.23

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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.