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Finding the Fourth Proportional to 1,424, 1,964.47 and 834.28

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Solution

The fourth proportional to 1,424, 1,964.47 and 834.28 is: 1,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424 : 1,964.47 = 834.28 : x
  2. Step 2: Convert to fraction form
    1,424/1,964.47 = 834.28/x
  3. Step 3: Cross multiply
    1,424x = 1,964.47 × 834.28
  4. Step 4: Simplify right side
    1,424x = 1,638,918.03
  5. Step 5: Solve for x
    x = 1,638,918.03/1,424
  6. Step 6: Final answer
    x = 1,150.93

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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.