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Finding the Fourth Proportional to 1,296.67, 1,949.10 and 812.80

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Solution

The fourth proportional to 1,296.67, 1,949.10 and 812.80 is: 1,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.67 : 1,949.10 = 812.80 : x
  2. Step 2: Convert to fraction form
    1,296.67/1,949.10 = 812.80/x
  3. Step 3: Cross multiply
    1,296.67x = 1,949.10 × 812.80
  4. Step 4: Simplify right side
    1,296.67x = 1,584,228.48
  5. Step 5: Solve for x
    x = 1,584,228.48/1,296.67
  6. Step 6: Final answer
    x = 1,221.77

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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.