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Finding the Fourth Proportional to 1,296.99, 1,946.06 and 680.55

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Solution

The fourth proportional to 1,296.99, 1,946.06 and 680.55 is: 1,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.99 : 1,946.06 = 680.55 : x
  2. Step 2: Convert to fraction form
    1,296.99/1,946.06 = 680.55/x
  3. Step 3: Cross multiply
    1,296.99x = 1,946.06 × 680.55
  4. Step 4: Simplify right side
    1,296.99x = 1,324,391.13
  5. Step 5: Solve for x
    x = 1,324,391.13/1,296.99
  6. Step 6: Final answer
    x = 1,021.13

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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.