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Finding the Fourth Proportional to 1,422.35, 1,963.02 and 832.87

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Solution

The fourth proportional to 1,422.35, 1,963.02 and 832.87 is: 1,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.35 : 1,963.02 = 832.87 : x
  2. Step 2: Convert to fraction form
    1,422.35/1,963.02 = 832.87/x
  3. Step 3: Cross multiply
    1,422.35x = 1,963.02 × 832.87
  4. Step 4: Simplify right side
    1,422.35x = 1,634,940.47
  5. Step 5: Solve for x
    x = 1,634,940.47/1,422.35
  6. Step 6: Final answer
    x = 1,149.46

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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.