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Finding the Fourth Proportional to 1,391.14, 2,086.20 and 416.92

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Solution

The fourth proportional to 1,391.14, 2,086.20 and 416.92 is: 625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.14 : 2,086.20 = 416.92 : x
  2. Step 2: Convert to fraction form
    1,391.14/2,086.20 = 416.92/x
  3. Step 3: Cross multiply
    1,391.14x = 2,086.20 × 416.92
  4. Step 4: Simplify right side
    1,391.14x = 869,778.50
  5. Step 5: Solve for x
    x = 869,778.50/1,391.14
  6. Step 6: Final answer
    x = 625.23

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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.