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Finding the Fourth Proportional to 1,293.40, 1,940.57 and 806.86

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Solution

The fourth proportional to 1,293.40, 1,940.57 and 806.86 is: 1,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.40 : 1,940.57 = 806.86 : x
  2. Step 2: Convert to fraction form
    1,293.40/1,940.57 = 806.86/x
  3. Step 3: Cross multiply
    1,293.40x = 1,940.57 × 806.86
  4. Step 4: Simplify right side
    1,293.40x = 1,565,754.57
  5. Step 5: Solve for x
    x = 1,565,754.57/1,293.40
  6. Step 6: Final answer
    x = 1,210.58

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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.