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Finding the Fourth Proportional to 1,424.52, 1,966.07 and 827.03

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Solution

The fourth proportional to 1,424.52, 1,966.07 and 827.03 is: 1,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.52 : 1,966.07 = 827.03 : x
  2. Step 2: Convert to fraction form
    1,424.52/1,966.07 = 827.03/x
  3. Step 3: Cross multiply
    1,424.52x = 1,966.07 × 827.03
  4. Step 4: Simplify right side
    1,424.52x = 1,625,984.91
  5. Step 5: Solve for x
    x = 1,625,984.91/1,424.52
  6. Step 6: Final answer
    x = 1,141.43

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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.