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Finding the Fourth Proportional to 984.34, 1,476.72 and 823.15

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Solution

The fourth proportional to 984.34, 1,476.72 and 823.15 is: 1,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.34 : 1,476.72 = 823.15 : x
  2. Step 2: Convert to fraction form
    984.34/1,476.72 = 823.15/x
  3. Step 3: Cross multiply
    984.34x = 1,476.72 × 823.15
  4. Step 4: Simplify right side
    984.34x = 1,215,563.91
  5. Step 5: Solve for x
    x = 1,215,563.91/984.34
  6. Step 6: Final answer
    x = 1,234.90

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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.