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Finding the Fourth Proportional to 1,415.86, 1,954.11 and 794.86

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Solution

The fourth proportional to 1,415.86, 1,954.11 and 794.86 is: 1,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.86 : 1,954.11 = 794.86 : x
  2. Step 2: Convert to fraction form
    1,415.86/1,954.11 = 794.86/x
  3. Step 3: Cross multiply
    1,415.86x = 1,954.11 × 794.86
  4. Step 4: Simplify right side
    1,415.86x = 1,553,243.87
  5. Step 5: Solve for x
    x = 1,553,243.87/1,415.86
  6. Step 6: Final answer
    x = 1,097.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.