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Finding the Fourth Proportional to 828.24, 1,242.36 and 486

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Solution

The fourth proportional to 828.24, 1,242.36 and 486 is: 729

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.24 : 1,242.36 = 486 : x
  2. Step 2: Convert to fraction form
    828.24/1,242.36 = 486/x
  3. Step 3: Cross multiply
    828.24x = 1,242.36 × 486
  4. Step 4: Simplify right side
    828.24x = 603,786.96
  5. Step 5: Solve for x
    x = 603,786.96/828.24
  6. Step 6: Final answer
    x = 729

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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.