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Finding the Fourth Proportional to 1,424.13, 1,965.32 and 834.68

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Solution

The fourth proportional to 1,424.13, 1,965.32 and 834.68 is: 1,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.13 : 1,965.32 = 834.68 : x
  2. Step 2: Convert to fraction form
    1,424.13/1,965.32 = 834.68/x
  3. Step 3: Cross multiply
    1,424.13x = 1,965.32 × 834.68
  4. Step 4: Simplify right side
    1,424.13x = 1,640,399.30
  5. Step 5: Solve for x
    x = 1,640,399.30/1,424.13
  6. Step 6: Final answer
    x = 1,151.86

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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.