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Finding the Fourth Proportional to 989.80, 1,364.58 and 834.28

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Solution

The fourth proportional to 989.80, 1,364.58 and 834.28 is: 1,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.80 : 1,364.58 = 834.28 : x
  2. Step 2: Convert to fraction form
    989.80/1,364.58 = 834.28/x
  3. Step 3: Cross multiply
    989.80x = 1,364.58 × 834.28
  4. Step 4: Simplify right side
    989.80x = 1,138,441.80
  5. Step 5: Solve for x
    x = 1,138,441.80/989.80
  6. Step 6: Final answer
    x = 1,150.17

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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.