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Finding the Fourth Proportional to 1,293.12, 1,940.27 and 708.08

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Solution

The fourth proportional to 1,293.12, 1,940.27 and 708.08 is: 1,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.12 : 1,940.27 = 708.08 : x
  2. Step 2: Convert to fraction form
    1,293.12/1,940.27 = 708.08/x
  3. Step 3: Cross multiply
    1,293.12x = 1,940.27 × 708.08
  4. Step 4: Simplify right side
    1,293.12x = 1,373,853.14
  5. Step 5: Solve for x
    x = 1,373,853.14/1,293.12
  6. Step 6: Final answer
    x = 1,062.43

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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.