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Finding the Fourth Proportional to 989.92, 1,364.45 and 834.10

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Solution

The fourth proportional to 989.92, 1,364.45 and 834.10 is: 1,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.92 : 1,364.45 = 834.10 : x
  2. Step 2: Convert to fraction form
    989.92/1,364.45 = 834.10/x
  3. Step 3: Cross multiply
    989.92x = 1,364.45 × 834.10
  4. Step 4: Simplify right side
    989.92x = 1,138,080.16
  5. Step 5: Solve for x
    x = 1,138,080.16/989.92
  6. Step 6: Final answer
    x = 1,149.67

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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.