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Finding the Fourth Proportional to 892.49, 1,338.30 and 522.40

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Solution

The fourth proportional to 892.49, 1,338.30 and 522.40 is: 783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.49 : 1,338.30 = 522.40 : x
  2. Step 2: Convert to fraction form
    892.49/1,338.30 = 522.40/x
  3. Step 3: Cross multiply
    892.49x = 1,338.30 × 522.40
  4. Step 4: Simplify right side
    892.49x = 699,124.57
  5. Step 5: Solve for x
    x = 699,124.57/892.49
  6. Step 6: Final answer
    x = 783.35

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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.