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Finding the Fourth Proportional to 1,414.99, 1,952.48 and 793.87

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Solution

The fourth proportional to 1,414.99, 1,952.48 and 793.87 is: 1,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.99 : 1,952.48 = 793.87 : x
  2. Step 2: Convert to fraction form
    1,414.99/1,952.48 = 793.87/x
  3. Step 3: Cross multiply
    1,414.99x = 1,952.48 × 793.87
  4. Step 4: Simplify right side
    1,414.99x = 1,550,011.33
  5. Step 5: Solve for x
    x = 1,550,011.33/1,414.99
  6. Step 6: Final answer
    x = 1,095.42

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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.