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Finding the Fourth Proportional to 1,392.75, 2,089.14 and 418.86

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Solution

The fourth proportional to 1,392.75, 2,089.14 and 418.86 is: 628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.75 : 2,089.14 = 418.86 : x
  2. Step 2: Convert to fraction form
    1,392.75/2,089.14 = 418.86/x
  3. Step 3: Cross multiply
    1,392.75x = 2,089.14 × 418.86
  4. Step 4: Simplify right side
    1,392.75x = 875,057.18
  5. Step 5: Solve for x
    x = 875,057.18/1,392.75
  6. Step 6: Final answer
    x = 628.29

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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.