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Finding the Fourth Proportional to 827.87, 1,241.78 and 307.67

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Solution

The fourth proportional to 827.87, 1,241.78 and 307.67 is: 461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.87 : 1,241.78 = 307.67 : x
  2. Step 2: Convert to fraction form
    827.87/1,241.78 = 307.67/x
  3. Step 3: Cross multiply
    827.87x = 1,241.78 × 307.67
  4. Step 4: Simplify right side
    827.87x = 382,050.71
  5. Step 5: Solve for x
    x = 382,050.71/827.87
  6. Step 6: Final answer
    x = 461.49

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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.