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Finding the Fourth Proportional to 827.65, 1,241.38 and 250.53

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Solution

The fourth proportional to 827.65, 1,241.38 and 250.53 is: 375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.65 : 1,241.38 = 250.53 : x
  2. Step 2: Convert to fraction form
    827.65/1,241.38 = 250.53/x
  3. Step 3: Cross multiply
    827.65x = 1,241.38 × 250.53
  4. Step 4: Simplify right side
    827.65x = 311,002.93
  5. Step 5: Solve for x
    x = 311,002.93/827.65
  6. Step 6: Final answer
    x = 375.77

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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.