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Finding the Fourth Proportional to 824.04, 1,236.06 and 550.67

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Solution

The fourth proportional to 824.04, 1,236.06 and 550.67 is: 826.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.04 : 1,236.06 = 550.67 : x
  2. Step 2: Convert to fraction form
    824.04/1,236.06 = 550.67/x
  3. Step 3: Cross multiply
    824.04x = 1,236.06 × 550.67
  4. Step 4: Simplify right side
    824.04x = 680,654.98
  5. Step 5: Solve for x
    x = 680,654.98/824.04
  6. Step 6: Final answer
    x = 826.00

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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.