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Finding the Fourth Proportional to 1,296.73, 1,948.17 and 835.41

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Solution

The fourth proportional to 1,296.73, 1,948.17 and 835.41 is: 1,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.73 : 1,948.17 = 835.41 : x
  2. Step 2: Convert to fraction form
    1,296.73/1,948.17 = 835.41/x
  3. Step 3: Cross multiply
    1,296.73x = 1,948.17 × 835.41
  4. Step 4: Simplify right side
    1,296.73x = 1,627,520.70
  5. Step 5: Solve for x
    x = 1,627,520.70/1,296.73
  6. Step 6: Final answer
    x = 1,255.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.