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Finding the Fourth Proportional to 1,293.92, 1,940.16 and 513.13

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Solution

The fourth proportional to 1,293.92, 1,940.16 and 513.13 is: 769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.92 : 1,940.16 = 513.13 : x
  2. Step 2: Convert to fraction form
    1,293.92/1,940.16 = 513.13/x
  3. Step 3: Cross multiply
    1,293.92x = 1,940.16 × 513.13
  4. Step 4: Simplify right side
    1,293.92x = 995,544.60
  5. Step 5: Solve for x
    x = 995,544.60/1,293.92
  6. Step 6: Final answer
    x = 769.40

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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.