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Finding the Fourth Proportional to 892.66, 1,228.41 and 823.41

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Solution

The fourth proportional to 892.66, 1,228.41 and 823.41 is: 1,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.66 : 1,228.41 = 823.41 : x
  2. Step 2: Convert to fraction form
    892.66/1,228.41 = 823.41/x
  3. Step 3: Cross multiply
    892.66x = 1,228.41 × 823.41
  4. Step 4: Simplify right side
    892.66x = 1,011,480.47
  5. Step 5: Solve for x
    x = 1,011,480.47/892.66
  6. Step 6: Final answer
    x = 1,133.11

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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.