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Finding the Fourth Proportional to 1,293.51, 1,940.41 and 415.81

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Solution

The fourth proportional to 1,293.51, 1,940.41 and 415.81 is: 623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.51 : 1,940.41 = 415.81 : x
  2. Step 2: Convert to fraction form
    1,293.51/1,940.41 = 415.81/x
  3. Step 3: Cross multiply
    1,293.51x = 1,940.41 × 415.81
  4. Step 4: Simplify right side
    1,293.51x = 806,841.88
  5. Step 5: Solve for x
    x = 806,841.88/1,293.51
  6. Step 6: Final answer
    x = 623.76

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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.