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Finding the Fourth Proportional to 974.10, 1,343.22 and 834.66

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Solution

The fourth proportional to 974.10, 1,343.22 and 834.66 is: 1,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.10 : 1,343.22 = 834.66 : x
  2. Step 2: Convert to fraction form
    974.10/1,343.22 = 834.66/x
  3. Step 3: Cross multiply
    974.10x = 1,343.22 × 834.66
  4. Step 4: Simplify right side
    974.10x = 1,121,132.01
  5. Step 5: Solve for x
    x = 1,121,132.01/974.10
  6. Step 6: Final answer
    x = 1,150.94

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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.