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Finding the Fourth Proportional to 892.37, 1,338.12 and 522.32

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Solution

The fourth proportional to 892.37, 1,338.12 and 522.32 is: 783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.37 : 1,338.12 = 522.32 : x
  2. Step 2: Convert to fraction form
    892.37/1,338.12 = 522.32/x
  3. Step 3: Cross multiply
    892.37x = 1,338.12 × 522.32
  4. Step 4: Simplify right side
    892.37x = 698,920.15
  5. Step 5: Solve for x
    x = 698,920.15/892.37
  6. Step 6: Final answer
    x = 783.22

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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.