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Finding the Fourth Proportional to 892.84, 1,232.40 and 612.97

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Solution

The fourth proportional to 892.84, 1,232.40 and 612.97 is: 846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.84 : 1,232.40 = 612.97 : x
  2. Step 2: Convert to fraction form
    892.84/1,232.40 = 612.97/x
  3. Step 3: Cross multiply
    892.84x = 1,232.40 × 612.97
  4. Step 4: Simplify right side
    892.84x = 755,424.23
  5. Step 5: Solve for x
    x = 755,424.23/892.84
  6. Step 6: Final answer
    x = 846.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.