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Finding the Fourth Proportional to 1,293.57, 1,940.53 and 415.87

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Solution

The fourth proportional to 1,293.57, 1,940.53 and 415.87 is: 623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.57 : 1,940.53 = 415.87 : x
  2. Step 2: Convert to fraction form
    1,293.57/1,940.53 = 415.87/x
  3. Step 3: Cross multiply
    1,293.57x = 1,940.53 × 415.87
  4. Step 4: Simplify right side
    1,293.57x = 806,998.51
  5. Step 5: Solve for x
    x = 806,998.51/1,293.57
  6. Step 6: Final answer
    x = 623.85

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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.