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Finding the Fourth Proportional to 827.35, 1,241.01 and 772.67

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Solution

The fourth proportional to 827.35, 1,241.01 and 772.67 is: 1,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.35 : 1,241.01 = 772.67 : x
  2. Step 2: Convert to fraction form
    827.35/1,241.01 = 772.67/x
  3. Step 3: Cross multiply
    827.35x = 1,241.01 × 772.67
  4. Step 4: Simplify right side
    827.35x = 958,891.20
  5. Step 5: Solve for x
    x = 958,891.20/827.35
  6. Step 6: Final answer
    x = 1,158.99

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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.