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Finding the Fourth Proportional to 1,293.04, 1,940.32 and 523.52

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Solution

The fourth proportional to 1,293.04, 1,940.32 and 523.52 is: 785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.04 : 1,940.32 = 523.52 : x
  2. Step 2: Convert to fraction form
    1,293.04/1,940.32 = 523.52/x
  3. Step 3: Cross multiply
    1,293.04x = 1,940.32 × 523.52
  4. Step 4: Simplify right side
    1,293.04x = 1,015,796.33
  5. Step 5: Solve for x
    x = 1,015,796.33/1,293.04
  6. Step 6: Final answer
    x = 785.59

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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.