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Finding the Fourth Proportional to 816.84, 1,227.12 and 492.42

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Solution

The fourth proportional to 816.84, 1,227.12 and 492.42 is: 739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.84 : 1,227.12 = 492.42 : x
  2. Step 2: Convert to fraction form
    816.84/1,227.12 = 492.42/x
  3. Step 3: Cross multiply
    816.84x = 1,227.12 × 492.42
  4. Step 4: Simplify right side
    816.84x = 604,258.43
  5. Step 5: Solve for x
    x = 604,258.43/816.84
  6. Step 6: Final answer
    x = 739.75

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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.