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Finding the Fourth Proportional to 1,394.84, 2,092.12 and 517.34

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Solution

The fourth proportional to 1,394.84, 2,092.12 and 517.34 is: 775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.84 : 2,092.12 = 517.34 : x
  2. Step 2: Convert to fraction form
    1,394.84/2,092.12 = 517.34/x
  3. Step 3: Cross multiply
    1,394.84x = 2,092.12 × 517.34
  4. Step 4: Simplify right side
    1,394.84x = 1,082,337.36
  5. Step 5: Solve for x
    x = 1,082,337.36/1,394.84
  6. Step 6: Final answer
    x = 775.96

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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.